Edit Profile (opens in new tab) Petryshyn, Walter Wolodymyr Co-Author Distance Author ID: petryshyn.wolodymyr-v Published as: Petryshyn, W. V.; Petryshyn, Wolodymyr V.; Petryshyn, Walter V. more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 102 Publications since 1962, including 2 Books Co-Authors: 9 Co-Authors with 26 Joint Publications 52 Co-Co-Authors all top 5 Co-Authors 69 single-authored 12 Fitzpatrick, Patrick Michael 5 Browder, Felix Earl 2 Milojevic, Petronije S. 2 Williamson, T. E. jun. 1 Conjura, E. 1 DePrima, Charles R. 1 Laferriere, Beatriz 1 Tucker, T. S. 1 Webb, Jeffrey Ronald Leslie all top 5 Serials 23 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications 8 Bulletin of the American Mathematical Society 7 Transactions of the American Mathematical Society 6 Journal of Functional Analysis 4 Archive for Rational Mechanics and Analysis 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 2 Houston Journal of Mathematics 2 Mathematics of Computation 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Illinois Journal of Mathematics 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 Journal of Mathematics and Physics 1 Cambridge Tracts in Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis all top 5 Fields 57 Operator theory (47-XX) 17 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 9 General topology (54-XX) 9 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 2,590 times in 1,802 Documents Cited by ▼ Year ▼ Construction of fixed points of nonlinear mappings in Hilbert space. Zbl 0153.45701 Browder, F. E.; Petryshyn, W. V. 664 1967 The solution by iteration of nonlinear functional equations in Banach spaces. Zbl 0138.08202 Browder, F. E.; Petryshyn, W. V. 194 1966 Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802 Petryshyn, W. V. 86 1966 Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces. Zbl 0177.42702 Browder, F. E.; Petryshyn, W. V. 86 1969 A characterization of strict convexity of Banach spaces and other uses of duality mappings. Zbl 0199.44004 Petryshyn, W. V. 81 1970 Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028 Petryshyn, W. V. 73 1971 Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings. Zbl 0262.47038 Petryshyn, W. V.; Williamson, T. E. jun. 73 1973 On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings. Zbl 0303.47038 Petryshyn, W. V. 72 1975 Remarks on condensing and \(k\)-set-contractive mappings. Zbl 0238.47041 Petryshyn, W. V. 59 1972 A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049 Petryshyn, W. V.; Fitzpatrick, P. M. 56 1974 The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201 Browder, F. E.; Petryshyn, W. V. 53 1966 Fixed point theorems for various classes of 1-set-contractive and 1-ball- contractive mappings in Banach spaces. Zbl 0277.47033 Petryshyn, W. V. 50 1973 Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047 Fitzpatrick, P. M.; Petryshyn, W. V. 50 1974 Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022 Fitzpatrick, P. M.; Petryshyn, W. V. 38 1975 Direct and iterative methods for the solution of linear operator equations in Hilbert space. Zbl 0106.09301 Petryshyn, W. V. 38 1962 On the approximation-solvability of nonlinear equations. Zbl 0162.20301 Petryshyn, W. V. 36 1968 Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202 Petryshyn, W. V. 35 1967 On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods. Zbl 0189.47502 Petryshyn, W. V. 34 1967 On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems. Zbl 0149.10602 Petryshyn, W. V. 29 1966 On a class of K-p.d. and non-K-p.d. operators and operator equations. Zbl 0135.36503 Petryshyn, W. V. 28 1965 On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902 Petryshyn, W. V. 28 1968 Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038 Petryshyn, W. V.; Fitzpatrick, P. M. 25 1974 The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Zbl 0164.17003 Browder, F. E.; Petryshyn, W. V. 25 1968 On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804 Petryshyn, W. V. 24 1968 On the solvability of (x element Tx + lambda Fx) in quasinormal cones with T and F k-set-contractive. Zbl 0474.47028 Petryshyn, W. V. 23 1981 Using degree theory for density defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part. Zbl 0444.47046 Petryshyn, W. V. 22 1980 On a fixed point theorem for nonlinear P-compact operators in Banach space. Zbl 0142.11201 Petryshyn, W. V. 22 1966 Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015 Petryshyn, W. V.; Yu, Z. S. 22 1982 Remarks on the approximation-solvability of nonlinear functional equations. Zbl 0166.12701 Petryshyn, W. V. 21 1967 On the extension and the solution of nonlinear operator equations. Zbl 0139.31503 Petryshyn, W. V. 21 1966 Solvability of various boundary value problems for the equation \(x''=f(t,x,x',x'')-y\). Zbl 0585.34020 Petryshyn, W. V. 21 1986 On the nonlinear eigenvalue problem \(T(u)=\lambda C(u)\), involving noncompact abstract and differential operators. Zbl 0386.47033 Fitzpatrick, P. M.; Petryshyn, W. V. 19 1978 Nonlinear equations involving noncompact operators. Zbl 0232.47070 Petryshyn, W. V. 18 1970 Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property. Zbl 0218.47029 Petryshyn, W. V. 17 1971 On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501 Petryshyn, W. V.; Tucker, T. S. 17 1969 Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019 Petryshyn, W. V.; Yu, Z. S. 17 1982 Invariance of domain theorem for locally A-proper mappings and its implications. Zbl 0197.40501 Petryshyn, W. V. 15 1970 Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040 Petryshyn, Wolodymyr V. 15 1993 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0149.10603 Petryshyn, W. V. 15 1966 New existence theorems for nonlinear equations of Hammerstein type. Zbl 0236.47057 Petryshyn, W. V.; Fitzpatrick, P. M. 14 1971 Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems. Zbl 0297.47050 Petryshyn, W. V. 13 1975 Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators. Zbl 0352.47028 Fitzpatrick, P. M.; Petryshyn, W. V. 13 1976 On the extrapolated Jacobi or simultaneous displacements method in the solution of matrix and operator equations. Zbl 0131.33801 Petryshyn, W. V. 13 1965 On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701 Petryshyn, W. V. 12 1963 Generalized topological degree and semilinear equations. Zbl 0834.47053 Petryshyn, W. V. 12 1995 Existence of fixed points of positive k-set-contractive maps as consequences of suitable boundary conditions. Zbl 0681.47024 Petryshyn, W. V. 11 1988 Fredholm alternative for nonlinear k-ball-contractive mappings with applications. Zbl 0292.47057 Petryshyn, W. V. 11 1975 Multiple positive fixed points of multivalued condensing mappings with some applications. Zbl 0631.47044 Petryshyn, W. V. 10 1987 Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space. Zbl 0167.15003 Petryshyn, W. V. 10 1968 On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit. Zbl 0581.70024 Petryshyn, W. V.; Yu, Z. S. 10 1985 A new fixed point theorem and its application. Zbl 0231.47030 Petryshyn, W. V. 9 1972 Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations. Zbl 0392.47036 Petryshyn, W. V. 9 1978 Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings. Zbl 0367.47032 Milojevic, P. S.; Petryshyn, W. V. 9 1977 New positive fixed point and eigenvalue results for \(P_{\gamma}\)- compact maps and some applications. Zbl 0702.47036 Laferriere, Beatriz; Petryshyn, W. V. 9 1989 Existence theorems for semilinear abstract and differential equations with noninvertible linear parts and noncompact perturbations. Zbl 0456.47050 Petryshyn, W. V. 8 1978 On the inversion of matrices and linear operators. Zbl 0151.19301 Petryshyn, W. V. 8 1965 Galerkin methods in the constructive solvability of nonlinear Hammerstein equations with applications to differential equations. Zbl 0392.45014 Fitzpatrick, P. M.; Petryshyn, W. V. 8 1978 Some examples concerning the distinctive features of bounded linear \(A\)-proper mappings and Fredholm mappings. Zbl 0187.06204 Petryshyn, W. V. 8 1969 On existence theorems for nonlinear equations involving noncompact mappings. Zbl 0202.42803 Petryshyn, W. V. 8 1970 The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804 Petryshyn, W. V. 8 1962 Degree theory for noncompact multivalued vector fields. Zbl 0267.47033 Petryshyn, W. V.; Fitzpatrick, P. M. 7 1973 On the generalized overrelaxation method for operation equations. Zbl 0128.11602 Petryshyn, W. V. 7 1963 Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps. Zbl 0458.47044 Petryshyn, W. V. 6 1979 On 1-set and 1-ball contractions with application to perturbation problems for nonlinear bijective maps and linear Fredholm maps. Zbl 0266.47057 Petryshyn, W. V.; Fitzpatrick, P. M. 6 1973 On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038 Petryshyn, W. V. 6 1979 Remarks on fixed point theorems and their extensions. Zbl 0167.44503 Petryshyn, W. V. 6 1967 Constructional proof of Lax-Milgram lemma and its application to non-K-p. d. abstract and differential operator equations. Zbl 0139.09002 Petryshyn, W. V. 6 1965 Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative. Zbl 0513.34020 Petryshyn, W. V.; Yu, Z. S. 6 1983 Solvability of semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045 Petryshyn, W. V. 5 1979 Nonlinear eigenvalue problems and the existence of nonzero fixed points for A-proper mappings. Zbl 0443.47060 Petryshyn, Walter V. 5 1978 Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031 Petryshyn, W. V. 5 1972 On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039 Petryshyn, W. V. 5 1972 On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030 Petryshyn, W. V. 5 1976 Iterative construction of fixed points of contractive type mappings in Banach spaces. Zbl 0187.09301 Petryshyn, W. V. 5 1968 Approximation-solvability of periodic boundary value problems via the A- proper mapping theory. Zbl 0608.47060 Petryshyn, W. V. 4 1986 Existence of nonzero fixed points for noncompact mappings in wedges and cones. Zbl 0428.47032 Petryshyn, W. V. 4 1979 A necessary and sufficient condition for the convergence of a sequence of iterates for quasi-nonexpansive mappings. Zbl 0262.47037 Petryshyn, W. V.; Williamson, T. E. jun. 4 1972 On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations. Zbl 0164.17301 Petryshyn, W. V. 4 1968 On two variants of a method for the solution of linear equations with unbounded operators and their applications. Zbl 0135.36601 Petryshyn, W. V. 4 1965 Periodic solutions of certain higher order nonlinear differential equations. Zbl 0523.34041 Petryshyn, W. V.; Yu, Z. S. 4 1983 Remarks on strict monotonicity and surjectivity properties of duality mappings defined on real normed linear spaces. Zbl 0214.37404 DePrima, C. R.; Petryshyn, W. V. 3 1971 Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators. Zbl 0352.47029 Petryshyn, W. V. 3 1976 Solvability of linear and quasilinear elliptic boundary value problems via the A-proper mapping theory. Zbl 0469.35048 Petryshyn, W. V. 3 1980 Surjectivity theorems for odd maps of A-proper type. Zbl 0203.46001 Petryshyn, W. V. 3 1971 Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications. Zbl 0373.47029 Milojevic, P. S.; Petryshyn, W. V. 3 1978 Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047 Petryshyn, W. V. 3 1983 Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces. Zbl 0654.47037 Petryshyn, W. V. 2 1988 Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030 Petryshyn, W. V.; Yu, Z. S. 2 1983 Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space. Zbl 0202.41901 Petryshyn, W. V. 2 1970 On the approximation-solvability of nonlinear functional equations in normed linear spaces. Zbl 0187.09202 Petryshyn, W. V. 2 1968 Variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0477.35041 Petryshyn, W. V. 2 1981 Boundary value problems at resonance for certain semilinear ordinary differential equations. Zbl 0529.34023 Petryshyn, W. V.; Yu, Z. S. 2 1984 Existence of positive eigenvectors and fixed points for A-proper type maps in cones. Zbl 0637.47027 Petryshyn, W. V. 1 1987 Nonlinear Friedrichs’ extension of \(K\)-strongly stable operators and the error estimate for the Galerkin method. Zbl 0753.47043 Petryshyn, W. V. 1 1992 Some applications of A-proper mappings. Zbl 0416.35030 Fitzpatrick, P. M.; Petryshyn, W. V. 1 1979 Extension of nonlinear densely defined operators, rates of convergence for the error and the residual, and application to differential equations. Zbl 0396.47030 Conjura, E.; Petryshyn, W. V. 1 1978 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0142.11202 Petryshyn, W. V. 1 1966 On connected components of solutions of nonlinear eigenvalue problems. Zbl 0539.47043 Fitzpatrick, P. M.; Petryshyn, W. V. 1 1982 Some further results on periodic solutions of certain higher order nonlinear differential equations. Zbl 0575.34031 Petryshyn, W. V. 1 1984 Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems. Zbl 0866.35044 Petryshyn, W. V.; Webb, J. R. L. 1 1997 Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems. Zbl 0866.35044 Petryshyn, W. V.; Webb, J. R. L. 1 1997 Generalized topological degree and semilinear equations. Zbl 0834.47053 Petryshyn, W. V. 12 1995 Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040 Petryshyn, Wolodymyr V. 15 1993 Nonlinear Friedrichs’ extension of \(K\)-strongly stable operators and the error estimate for the Galerkin method. Zbl 0753.47043 Petryshyn, W. V. 1 1992 New positive fixed point and eigenvalue results for \(P_{\gamma}\)- compact maps and some applications. Zbl 0702.47036 Laferriere, Beatriz; Petryshyn, W. V. 9 1989 Existence of fixed points of positive k-set-contractive maps as consequences of suitable boundary conditions. Zbl 0681.47024 Petryshyn, W. V. 11 1988 Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces. Zbl 0654.47037 Petryshyn, W. V. 2 1988 Multiple positive fixed points of multivalued condensing mappings with some applications. Zbl 0631.47044 Petryshyn, W. V. 10 1987 Existence of positive eigenvectors and fixed points for A-proper type maps in cones. Zbl 0637.47027 Petryshyn, W. V. 1 1987 Solvability of various boundary value problems for the equation \(x''=f(t,x,x',x'')-y\). Zbl 0585.34020 Petryshyn, W. V. 21 1986 Approximation-solvability of periodic boundary value problems via the A- proper mapping theory. Zbl 0608.47060 Petryshyn, W. V. 4 1986 On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit. Zbl 0581.70024 Petryshyn, W. V.; Yu, Z. S. 10 1985 Boundary value problems at resonance for certain semilinear ordinary differential equations. Zbl 0529.34023 Petryshyn, W. V.; Yu, Z. S. 2 1984 Some further results on periodic solutions of certain higher order nonlinear differential equations. Zbl 0575.34031 Petryshyn, W. V. 1 1984 Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative. Zbl 0513.34020 Petryshyn, W. V.; Yu, Z. S. 6 1983 Periodic solutions of certain higher order nonlinear differential equations. Zbl 0523.34041 Petryshyn, W. V.; Yu, Z. S. 4 1983 Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047 Petryshyn, W. V. 3 1983 Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030 Petryshyn, W. V.; Yu, Z. S. 2 1983 Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015 Petryshyn, W. V.; Yu, Z. S. 22 1982 Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019 Petryshyn, W. V.; Yu, Z. S. 17 1982 On connected components of solutions of nonlinear eigenvalue problems. Zbl 0539.47043 Fitzpatrick, P. M.; Petryshyn, W. V. 1 1982 On the solvability of (x element Tx + lambda Fx) in quasinormal cones with T and F k-set-contractive. Zbl 0474.47028 Petryshyn, W. V. 23 1981 Variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0477.35041 Petryshyn, W. V. 2 1981 Using degree theory for density defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part. Zbl 0444.47046 Petryshyn, W. V. 22 1980 Solvability of linear and quasilinear elliptic boundary value problems via the A-proper mapping theory. Zbl 0469.35048 Petryshyn, W. V. 3 1980 Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps. Zbl 0458.47044 Petryshyn, W. V. 6 1979 On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038 Petryshyn, W. V. 6 1979 Solvability of semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045 Petryshyn, W. V. 5 1979 Existence of nonzero fixed points for noncompact mappings in wedges and cones. Zbl 0428.47032 Petryshyn, W. V. 4 1979 Some applications of A-proper mappings. Zbl 0416.35030 Fitzpatrick, P. M.; Petryshyn, W. V. 1 1979 On the nonlinear eigenvalue problem \(T(u)=\lambda C(u)\), involving noncompact abstract and differential operators. Zbl 0386.47033 Fitzpatrick, P. M.; Petryshyn, W. V. 19 1978 Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations. Zbl 0392.47036 Petryshyn, W. V. 9 1978 Existence theorems for semilinear abstract and differential equations with noninvertible linear parts and noncompact perturbations. Zbl 0456.47050 Petryshyn, W. V. 8 1978 Galerkin methods in the constructive solvability of nonlinear Hammerstein equations with applications to differential equations. Zbl 0392.45014 Fitzpatrick, P. M.; Petryshyn, W. V. 8 1978 Nonlinear eigenvalue problems and the existence of nonzero fixed points for A-proper mappings. Zbl 0443.47060 Petryshyn, Walter V. 5 1978 Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications. Zbl 0373.47029 Milojevic, P. S.; Petryshyn, W. V. 3 1978 Extension of nonlinear densely defined operators, rates of convergence for the error and the residual, and application to differential equations. Zbl 0396.47030 Conjura, E.; Petryshyn, W. V. 1 1978 Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings. Zbl 0367.47032 Milojevic, P. S.; Petryshyn, W. V. 9 1977 Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators. Zbl 0352.47028 Fitzpatrick, P. M.; Petryshyn, W. V. 13 1976 On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030 Petryshyn, W. V. 5 1976 Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators. Zbl 0352.47029 Petryshyn, W. V. 3 1976 On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings. Zbl 0303.47038 Petryshyn, W. V. 72 1975 Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022 Fitzpatrick, P. M.; Petryshyn, W. V. 38 1975 Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems. Zbl 0297.47050 Petryshyn, W. V. 13 1975 Fredholm alternative for nonlinear k-ball-contractive mappings with applications. Zbl 0292.47057 Petryshyn, W. V. 11 1975 A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049 Petryshyn, W. V.; Fitzpatrick, P. M. 56 1974 Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047 Fitzpatrick, P. M.; Petryshyn, W. V. 50 1974 Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038 Petryshyn, W. V.; Fitzpatrick, P. M. 25 1974 Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings. Zbl 0262.47038 Petryshyn, W. V.; Williamson, T. E. jun. 73 1973 Fixed point theorems for various classes of 1-set-contractive and 1-ball- contractive mappings in Banach spaces. Zbl 0277.47033 Petryshyn, W. V. 50 1973 Degree theory for noncompact multivalued vector fields. Zbl 0267.47033 Petryshyn, W. V.; Fitzpatrick, P. M. 7 1973 On 1-set and 1-ball contractions with application to perturbation problems for nonlinear bijective maps and linear Fredholm maps. Zbl 0266.47057 Petryshyn, W. V.; Fitzpatrick, P. M. 6 1973 Remarks on condensing and \(k\)-set-contractive mappings. Zbl 0238.47041 Petryshyn, W. V. 59 1972 A new fixed point theorem and its application. Zbl 0231.47030 Petryshyn, W. V. 9 1972 Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031 Petryshyn, W. V. 5 1972 On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039 Petryshyn, W. V. 5 1972 A necessary and sufficient condition for the convergence of a sequence of iterates for quasi-nonexpansive mappings. Zbl 0262.47037 Petryshyn, W. V.; Williamson, T. E. jun. 4 1972 Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028 Petryshyn, W. V. 73 1971 Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property. Zbl 0218.47029 Petryshyn, W. V. 17 1971 New existence theorems for nonlinear equations of Hammerstein type. Zbl 0236.47057 Petryshyn, W. V.; Fitzpatrick, P. M. 14 1971 Remarks on strict monotonicity and surjectivity properties of duality mappings defined on real normed linear spaces. Zbl 0214.37404 DePrima, C. R.; Petryshyn, W. V. 3 1971 Surjectivity theorems for odd maps of A-proper type. Zbl 0203.46001 Petryshyn, W. V. 3 1971 A characterization of strict convexity of Banach spaces and other uses of duality mappings. Zbl 0199.44004 Petryshyn, W. V. 81 1970 Nonlinear equations involving noncompact operators. Zbl 0232.47070 Petryshyn, W. V. 18 1970 Invariance of domain theorem for locally A-proper mappings and its implications. Zbl 0197.40501 Petryshyn, W. V. 15 1970 On existence theorems for nonlinear equations involving noncompact mappings. Zbl 0202.42803 Petryshyn, W. V. 8 1970 Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space. Zbl 0202.41901 Petryshyn, W. V. 2 1970 Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces. Zbl 0177.42702 Browder, F. E.; Petryshyn, W. V. 86 1969 On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501 Petryshyn, W. V.; Tucker, T. S. 17 1969 Some examples concerning the distinctive features of bounded linear \(A\)-proper mappings and Fredholm mappings. Zbl 0187.06204 Petryshyn, W. V. 8 1969 On the approximation-solvability of nonlinear equations. Zbl 0162.20301 Petryshyn, W. V. 36 1968 On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902 Petryshyn, W. V. 28 1968 The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Zbl 0164.17003 Browder, F. E.; Petryshyn, W. V. 25 1968 On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804 Petryshyn, W. V. 24 1968 Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space. Zbl 0167.15003 Petryshyn, W. V. 10 1968 Iterative construction of fixed points of contractive type mappings in Banach spaces. Zbl 0187.09301 Petryshyn, W. V. 5 1968 On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations. Zbl 0164.17301 Petryshyn, W. V. 4 1968 On the approximation-solvability of nonlinear functional equations in normed linear spaces. Zbl 0187.09202 Petryshyn, W. V. 2 1968 Construction of fixed points of nonlinear mappings in Hilbert space. Zbl 0153.45701 Browder, F. E.; Petryshyn, W. V. 664 1967 Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202 Petryshyn, W. V. 35 1967 On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods. Zbl 0189.47502 Petryshyn, W. V. 34 1967 Remarks on the approximation-solvability of nonlinear functional equations. Zbl 0166.12701 Petryshyn, W. V. 21 1967 Remarks on fixed point theorems and their extensions. Zbl 0167.44503 Petryshyn, W. V. 6 1967 The solution by iteration of nonlinear functional equations in Banach spaces. Zbl 0138.08202 Browder, F. E.; Petryshyn, W. V. 194 1966 Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802 Petryshyn, W. V. 86 1966 The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201 Browder, F. E.; Petryshyn, W. V. 53 1966 On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems. Zbl 0149.10602 Petryshyn, W. V. 29 1966 On a fixed point theorem for nonlinear P-compact operators in Banach space. Zbl 0142.11201 Petryshyn, W. V. 22 1966 On the extension and the solution of nonlinear operator equations. Zbl 0139.31503 Petryshyn, W. V. 21 1966 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0149.10603 Petryshyn, W. V. 15 1966 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0142.11202 Petryshyn, W. V. 1 1966 On a class of K-p.d. and non-K-p.d. operators and operator equations. Zbl 0135.36503 Petryshyn, W. V. 28 1965 On the extrapolated Jacobi or simultaneous displacements method in the solution of matrix and operator equations. Zbl 0131.33801 Petryshyn, W. V. 13 1965 On the inversion of matrices and linear operators. Zbl 0151.19301 Petryshyn, W. V. 8 1965 Constructional proof of Lax-Milgram lemma and its application to non-K-p. d. abstract and differential operator equations. Zbl 0139.09002 Petryshyn, W. V. 6 1965 On two variants of a method for the solution of linear equations with unbounded operators and their applications. Zbl 0135.36601 Petryshyn, W. V. 4 1965 On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701 Petryshyn, W. V. 12 1963 On the generalized overrelaxation method for operation equations. Zbl 0128.11602 Petryshyn, W. V. 7 1963 Direct and iterative methods for the solution of linear operator equations in Hilbert space. Zbl 0106.09301 Petryshyn, W. V. 38 1962 The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804 Petryshyn, W. V. 8 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,526 Authors 66 Petryshyn, Walter Wolodymyr 47 Yao, Jen-Chih 39 O’Regan, Donal 39 Qin, Xiaolong 37 Kumam, Poom 33 Ceng, Lu-Chuan 30 Jeribi, Aref 29 Kang, Shin Min 27 Chidume, Charles Ejike 27 Zegeye, Habtu 25 Chang, Shih-Sen 24 Shahzad, Naseer 22 Cho, Sun Young 22 Yao, Yonghong 21 Krichen, Bilel 20 Cho, Yeol Je 19 Agarwal, Ravi P. 19 Browder, Felix Earl 19 Marino, Giuseppe 19 Shehu, Yekini 19 Takahashi, Wataru 19 Zhou, Haiyun 17 Liou, Yeongcheng 17 Morales, Claudio H. 15 Fitzpatrick, Patrick Michael 15 Jung, Jong Soo 15 Ntouyas, Sotiris K. 13 Bisht, Ravindra Kishor 13 Huang, Nan-Jing 13 Kim, Jong Kyu 13 Kohlenbach, Ulrich Wilhelm 13 Webb, Jeffrey Ronald Leslie 12 Ahmad, Bashir 12 Ansari, Qamrul Hasan 12 Kartsatos, Athanassios G. 12 Reich, Simeon 12 Wangkeeree, Rabian 11 Deep, Amar 11 Ding, Xie Ping 11 Khan, Abdul Rahim 11 Lan, Kunquan 11 Mewomo, Oluwatosin Temitope 11 Petruşel, Adrian 11 Rehman, Habib Ur 11 Su, Yongfu 10 Iiduka, Hideaki 10 Kangtunyakarn, Atid 10 Nashine, Hemant Kumar 10 Xu, Hong-Kun 9 Benkhaled, Hedi 9 Chen, Yuqing 9 Kirk, William Arthur 9 Kumam, Wiyada 9 Leuştean, Laurenţiu 9 López Acedo, Genaro 9 Peng, Jianwen 9 Rafiq, Arif 9 Shang, Meijuan 9 Xu, Shaoyuan 8 Ahmad, Rais 8 Colao, Vittorio 8 Eslamian, Mohammad 8 Garcia-Falset, Jesús 8 Hu, Changsong 8 Hussain, Nawab 8 Kazemi, Manochehr 8 Kim, In-Sook 8 Muglia, Luigi 8 Rodríguez-López, Jorge 8 Wang, Lin 8 Welsh, Stewart C. 8 Wen, Chingfeng 7 Al-saedi, Ahmed Eid Salem 7 Drábek, Pavel 7 Górnicki, Jarosław 7 Izuchukwu, Chinedu 7 Jaiboon, Chaichana 7 Kadelburg, Zoran 7 Karapınar, Erdal 7 Kazmi, Kaleem Raza 7 Postolache, Mihai 7 Shukla, Rahul 7 Suantai, Suthep 7 Thakur, Balwant Singh 7 Verma, Ram U. 7 Zima, Mirosława 6 Ammar, Aymen 6 Berinde, Vasile 6 Bruck, Ronald E. jun. 6 Cai, Gang 6 Chen, Rudong 6 Cholamjiak, Prasit 6 Cominetti, Roberto 6 Hao, Yan 6 Haraux, Alain 6 Isiogugu, Felicia Obiageli 6 Lin, Lai-Jiu 6 Maingé, Paul-Emile 6 Milojevic, Petronije S. 6 Moore, Chika ...and 1,426 more Authors all top 5 Cited in 285 Serials 192 Journal of Mathematical Analysis and Applications 138 Fixed Point Theory and Applications 104 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 75 Nonlinear Analysis. Theory, Methods & Applications 54 Journal of Inequalities and Applications 49 Applied Mathematics and Computation 45 Abstract and Applied Analysis 44 Numerical Functional Analysis and Optimization 38 Proceedings of the American Mathematical Society 31 Computers & Mathematics with Applications 27 Journal of Computational and Applied Mathematics 23 Transactions of the American Mathematical Society 23 Applied Mathematics Letters 23 Bulletin of the American Mathematical Society 20 Journal of Fixed Point Theory and Applications 19 Journal of Optimization Theory and Applications 19 Optimization 18 Numerische Mathematik 18 Filomat 18 Journal of Applied Mathematics and Computing 17 Journal of Differential Equations 17 Applied Mathematics and Mechanics. (English Edition) 17 Journal of Global Optimization 16 Applicable Analysis 16 Journal of Functional Analysis 16 Journal of Applied Mathematics 15 Mathematical and Computer Modelling 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Mathematische Zeitschrift 12 Archive for Rational Mechanics and Analysis 12 Mediterranean Journal of Mathematics 11 International Journal of Mathematics and Mathematical Sciences 11 Mathematische Annalen 11 Journal of Nonlinear Science and Applications 10 Linear Algebra and its Applications 9 Bulletin of the Australian Mathematical Society 9 Mathematical Methods in the Applied Sciences 9 Ukrainian Mathematical Journal 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Fixed Point Theory 8 Mathematische Nachrichten 8 Zeitschrift für Analysis und ihre Anwendungen 8 Journal of Convex Analysis 8 Advances in Difference Equations 7 Israel Journal of Mathematics 7 Journal of Soviet Mathematics 7 The Journal of Analysis 7 Acta Mathematica Sinica. English Series 7 Boundary Value Problems 6 Rocky Mountain Journal of Mathematics 6 Mathematics of Computation 6 Archiv der Mathematik 6 Computing 6 Czechoslovak Mathematical Journal 6 Journal of Approximation Theory 6 Manuscripta Mathematica 6 Numerical Algorithms 6 Journal of Applied Analysis 6 Thai Journal of Mathematics 6 Journal of Function Spaces 5 Demonstratio Mathematica 5 Results in Mathematics 5 Stochastic Analysis and Applications 5 Journal of Integral Equations and Applications 5 SIAM Journal on Optimization 5 Topological Methods in Nonlinear Analysis 5 Computational and Applied Mathematics 5 Communications of the Korean Mathematical Society 5 Applied General Topology 5 Afrika Matematika 5 Journal of Mathematics 4 Advances in Mathematics 4 Mathematica Slovaca 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Nonlinear Functional Analysis and Applications 4 Mathematical Modelling and Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis in Theory and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Nonlinear Analysis. Hybrid Systems 4 Journal of Nonlinear Analysis and Optimization: Theory & Applications 4 Korean Journal of Mathematics 4 Fixed Point Theory and Algorithms for Sciences and Engineering 3 Journal of Mathematical Physics 3 Glasgow Mathematical Journal 3 Journal of the Korean Mathematical Society 3 Ricerche di Matematica 3 Bulletin of the Iranian Mathematical Society 3 Aequationes Mathematicae 3 Mathematical Programming. Series A. Series B 3 Applied Mathematics. Series B (English Edition) 3 Mathematical Problems in Engineering 3 Vietnam Journal of Mathematics 3 Optimization Methods & Software 3 Taiwanese Journal of Mathematics 3 Communications in Contemporary Mathematics 3 Qualitative Theory of Dynamical Systems ...and 185 more Serials all top 5 Cited in 47 Fields 1,381 Operator theory (47-XX) 301 Numerical analysis (65-XX) 215 Calculus of variations and optimal control; optimization (49-XX) 184 Ordinary differential equations (34-XX) 184 General topology (54-XX) 111 Partial differential equations (35-XX) 103 Operations research, mathematical programming (90-XX) 85 Functional analysis (46-XX) 64 Integral equations (45-XX) 35 Global analysis, analysis on manifolds (58-XX) 33 Algebraic topology (55-XX) 32 Probability theory and stochastic processes (60-XX) 29 Approximations and expansions (41-XX) 26 Mathematical logic and foundations (03-XX) 24 Real functions (26-XX) 19 Biology and other natural sciences (92-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 9 Difference and functional equations (39-XX) 9 Information and communication theory, circuits (94-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 6 Computer science (68-XX) 6 Quantum theory (81-XX) 5 Sequences, series, summability (40-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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