Edit Profile Petryshyn, Walter Wolodymyr Compute Distance To: Compute Author ID: petryshyn.wolodymyr-v Published as: Petryshyn, W. V.; Petryshyn, Walter V.; Petryshyn, Wolodymyr V. External Links: MGP · Wikidata · GND · MacTutor Documents Indexed: 102 Publications since 1962, including 2 Books all top 5 Co-Authors 69 single-authored 12 Fitzpatrick, Patrick Michael 5 Browder, Felix Earl 3 Yu, Zhaosheng 2 Milojevic, Petronije S. 2 Williamson, T. E. jun. 2 Yu, Zhangsheng 1 Conjura, E. 1 DePrima, Charles R. 1 Laferriere, Beatriz 1 Tucker, T. S. 1 Webb, Jeffrey Ronald Leslie 1 Yu, Zhensheng 1 Yu, Zhisong 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 Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea 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 2,272 times in 1,525 Documents Cited by ▼ Year ▼ Construction of fixed points of nonlinear mappings in Hilbert space. Zbl 0153.45701Browder, F. E.; Petryshyn, W. V. 569 1967 The solution by iteration of nonlinear functional equations in Banach spaces. Zbl 0138.08202Browder, F. E.; Petryshyn, W. V. 133 1966 Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces. Zbl 0177.42702Browder, F. E.; Petryshyn, W. V. 80 1969 On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings. Zbl 0303.47038Petryshyn, W. V. 71 1975 Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings. Zbl 0262.47038Petryshyn, W. V.; Williamson, T. E. jun. 68 1973 A characterization of strict convexity of Banach spaces and other uses of duality mappings. Zbl 0199.44004Petryshyn, W. V. 66 1970 Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802Petryshyn, W. V. 55 1966 Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028Petryshyn, W. V. 52 1971 The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201Browder, F. E.; Petryshyn, W. V. 51 1966 Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047Fitzpatrick, P. M.; Petryshyn, W. V. 47 1974 A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049Petryshyn, W. V.; Fitzpatrick, P. M. 46 1974 Fixed point theorems for various classes of 1-set-contractive and 1-ball- contractive mappings in Banach spaces. Zbl 0277.47033Petryshyn, W. V. 45 1973 Remarks on condensing and \(k\)-set-contractive mappings. Zbl 0238.47041Petryshyn, W. V. 41 1972 On the approximation-solvability of nonlinear equations. Zbl 0162.20301Petryshyn, W. V. 37 1968 Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202Petryshyn, W. V. 34 1967 Direct and iterative methods for the solution of linear operator equations in Hilbert space. Zbl 0106.09301Petryshyn, W. V. 33 1962 Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022Fitzpatrick, P. M.; Petryshyn, W. V. 32 1975 On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods. Zbl 0189.47502Petryshyn, W. V. 31 1967 On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902Petryshyn, W. V. 29 1968 On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems. Zbl 0149.10602Petryshyn, W. V. 29 1966 On a class of K-p.d. and non-K-p.d. operators and operator equations. Zbl 0135.36503Petryshyn, W. V. 28 1965 The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Zbl 0164.17003Browder, F. E.; Petryshyn, W. V. 25 1968 Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038Petryshyn, W. V.; Fitzpatrick, P. M. 24 1974 On the solvability of (x element Tx + lambda Fx) in quasinormal cones with T and F k-set-contractive. Zbl 0474.47028Petryshyn, W. V. 23 1981 On a fixed point theorem for nonlinear P-compact operators in Banach space. Zbl 0142.11201Petryshyn, W. V. 22 1966 Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040Petryshyn, Wolodymyr V. 21 1993 Using degree theory for density defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part. Zbl 0444.47046Petryshyn, W. V. 21 1980 On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804Petryshyn, W. V. 21 1968 Remarks on the approximation-solvability of nonlinear functional equations. Zbl 0166.12701Petryshyn, W. V. 21 1967 Solvability of various boundary value problems for the equation \(x''=f(t,x,x',x'')-y\). Zbl 0585.34020Petryshyn, W. V. 20 1986 On the extension and the solution of nonlinear operator equations. Zbl 0139.31503Petryshyn, W. V. 20 1966 Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015Petryshyn, W. V.; Yu, Z. S. 19 1982 On the nonlinear eigenvalue problem \(T(u)=\lambda C(u)\), involving noncompact abstract and differential operators. Zbl 0386.47033Fitzpatrick, P. M.; Petryshyn, W. V. 19 1978 Nonlinear equations involving noncompact operators. Zbl 0232.47070Petryshyn, W. V. 18 1970 On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501Petryshyn, W. V.; Tucker, T. S. 18 1969 Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019Petryshyn, W. V.; Yu, Z. S. 17 1982 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 0218.47029Petryshyn, W. V. 17 1971 Invariance of domain theorem for locally A-proper mappings and its implications. Zbl 0197.40501Petryshyn, W. V. 15 1970 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0149.10603Petryshyn, W. V. 15 1966 New existence theorems for nonlinear equations of Hammerstein type. Zbl 0236.47057Petryshyn, W. V.; Fitzpatrick, P. M. 14 1971 Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems. Zbl 0297.47050Petryshyn, W. V. 13 1975 Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators. Zbl 0352.47028Fitzpatrick, P. M.; Petryshyn, W. V. 12 1976 On the extrapolated Jacobi or simultaneous displacements method in the solution of matrix and operator equations. Zbl 0131.33801Petryshyn, W. V. 12 1965 Existence of fixed points of positive k-set-contractive maps as consequences of suitable boundary conditions. Zbl 0681.47024Petryshyn, W. V. 11 1988 Fredholm alternative for nonlinear k-ball-contractive mappings with applications. Zbl 0292.47057Petryshyn, W. V. 11 1975 On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701Petryshyn, W. V. 11 1963 Multiple positive fixed points of multivalued condensing mappings with some applications. Zbl 0631.47044Petryshyn, W. V. 10 1987 On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit. Zbl 0581.70024Petryshyn, W. V.; Yu, Z. S. 10 1985 Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space. Zbl 0167.15003Petryshyn, W. V. 10 1968 Generalized topological degree and semilinear equations. Zbl 0834.47053Petryshyn, W. V. 9 1995 New positive fixed point and eigenvalue results for \(P_{\gamma}\)- compact maps and some applications. Zbl 0702.47036Laferriere, Beatriz; Petryshyn, W. V. 9 1989 Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations. Zbl 0392.47036Petryshyn, W. V. 9 1978 Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings. Zbl 0367.47032Milojevic, P. S.; Petryshyn, W. V. 9 1977 A new fixed point theorem and its application. Zbl 0231.47030Petryshyn, W. V. 9 1972 On existence theorems for nonlinear equations involving noncompact mappings. Zbl 0202.42803Petryshyn, W. V. 8 1970 Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings. Zbl 0187.06204Petryshyn, W. V. 8 1969 The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804Petryshyn, W. V. 8 1962 Existence theorems for semilinear abstract and differential equations with noninvertible linear parts and noncompact perturbations. Zbl 0456.47050Petryshyn, W. V. 7 1978 Degree theory for noncompact multivalued vector fields. Zbl 0267.47033Petryshyn, W. V.; Fitzpatrick, P. M. 7 1973 On the inversion of matrices and linear operators. Zbl 0151.19301Petryshyn, W. V. 7 1965 On the generalized overrelaxation method for operation equations. Zbl 0128.11602Petryshyn, W. V. 7 1963 Solvability of Neumann BV problems for nonlinear second-order ODEs which need not be solvable for the highest-order derivative. Zbl 0513.34020Petryshyn, W. V.; Yu, Z. S. 6 1983 Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps. Zbl 0458.47044Petryshyn, W. V. 6 1979 Galerkin methods in the constructive solvability of nonlinear Hammerstein equations with applications to differential equations. Zbl 0392.45014Fitzpatrick, P. M.; Petryshyn, W. V. 6 1978 On 1-set and 1-ball contractions with application to perturbation problems for nonlinear bijective maps and linear Fredholm maps. Zbl 0266.47057Petryshyn, W. V.; Fitzpatrick, P. M. 6 1973 Remarks on fixed point theorems and their extensions. Zbl 0167.44503Petryshyn, W. V. 6 1967 Constructional proof of Lax-Milgram lemma and its application to non-K-p. d. abstract and differential operator equations. Zbl 0139.09002Petryshyn, W. V. 6 1965 Solvability of semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045Petryshyn, W. V. 5 1979 On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038Petryshyn, W. V. 5 1979 Nonlinear eigenvalue problems and the existence of nonzero fixed points for A-proper mappings. Zbl 0443.47060Petryshyn, Walter V. 5 1978 On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039Petryshyn, W. V. 5 1972 Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031Petryshyn, W. V. 5 1972 Approximation-solvability of periodic boundary value problems via the A- proper mapping theory. Zbl 0608.47060Petryshyn, W. V. 4 1986 Periodic solutions of certain higher order nonlinear differential equations. Zbl 0523.34041Petryshyn, W. V.; Yu, Z. S. 4 1983 Existence of nonzero fixed points for noncompact mappings in wedges and cones. Zbl 0428.47032Petryshyn, W. V. 4 1979 On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030Petryshyn, W. V. 4 1976 Iterative construction of fixed points of contractive type mappings in Banach spaces. Zbl 0187.09301Petryshyn, W. V. 4 1968 On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations. Zbl 0164.17301Petryshyn, W. V. 4 1968 Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030Petryshyn, W. V.; Yu, Z. S. 3 1983 Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047Petryshyn, W. V. 3 1983 Solvability of linear and quasilinear elliptic boundary value problems via the A-proper mapping theory. Zbl 0469.35048Petryshyn, W. V. 3 1980 Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications. Zbl 0373.47029Milojevic, P. S.; Petryshyn, W. V. 3 1978 Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators. Zbl 0352.47029Petryshyn, W. V. 3 1976 A necessary and sufficient condition for the convergence of a sequence of iterates for quasi-nonexpansive mappings. Zbl 0262.47037Petryshyn, W. V.; Williamson, T. E. jun. 3 1972 Remarks on strict monotonicity and surjectivity properties of duality mappings defined on real normed linear spaces. Zbl 0214.37404DePrima, C. R.; Petryshyn, W. V. 3 1971 Surjectivity theorems for odd maps of A-proper type. Zbl 0203.46001Petryshyn, W. V. 3 1971 On two variants of a method for the solution of linear equations with unbounded operators and their applications. Zbl 0135.36601Petryshyn, W. V. 3 1965 Boundary value problems at resonance for certain semilinear ordinary differential equations. Zbl 0529.34023Petryshyn, W. V.; Yu, Z. S. 2 1984 Variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0477.35041Petryshyn, W. V. 2 1981 Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space. Zbl 0202.41901Petryshyn, W. V. 2 1970 Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems. Zbl 0866.35044Petryshyn, W. V.; Webb, J. R. L. 1 1997 Nonlinear Friedrichs’ extension of \(K\)-strongly stable operators and the error estimate for the Galerkin method. Zbl 0753.47043Petryshyn, W. V. 1 1992 Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces. Zbl 0654.47037Petryshyn, W. V. 1 1988 Existence of positive eigenvectors and fixed points for A-proper type maps in cones. Zbl 0637.47027Petryshyn, W. V. 1 1987 Some further results on periodic solutions of certain higher order nonlinear differential equations. Zbl 0575.34031Petryshyn, W. V. 1 1984 On connected components of solutions of nonlinear eigenvalue problems. Zbl 0539.47043Fitzpatrick, P. M.; Petryshyn, W. V. 1 1982 Some applications of A-proper mappings. Zbl 0416.35030Fitzpatrick, 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 0396.47030Conjura, E.; Petryshyn, W. V. 1 1978 On the approximation-solvability of nonlinear functional equations in normed linear spaces. Zbl 0187.09202Petryshyn, W. V. 1 1968 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0142.11202Petryshyn, W. V. 1 1966 Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems. Zbl 0866.35044Petryshyn, W. V.; Webb, J. R. L. 1 1997 Generalized topological degree and semilinear equations. Zbl 0834.47053Petryshyn, W. V. 9 1995 Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040Petryshyn, Wolodymyr V. 21 1993 Nonlinear Friedrichs’ extension of \(K\)-strongly stable operators and the error estimate for the Galerkin method. Zbl 0753.47043Petryshyn, W. V. 1 1992 New positive fixed point and eigenvalue results for \(P_{\gamma}\)- compact maps and some applications. Zbl 0702.47036Laferriere, Beatriz; Petryshyn, W. V. 9 1989 Existence of fixed points of positive k-set-contractive maps as consequences of suitable boundary conditions. Zbl 0681.47024Petryshyn, W. V. 11 1988 Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces. Zbl 0654.47037Petryshyn, W. V. 1 1988 Multiple positive fixed points of multivalued condensing mappings with some applications. Zbl 0631.47044Petryshyn, W. V. 10 1987 Existence of positive eigenvectors and fixed points for A-proper type maps in cones. Zbl 0637.47027Petryshyn, W. V. 1 1987 Solvability of various boundary value problems for the equation \(x''=f(t,x,x',x'')-y\). Zbl 0585.34020Petryshyn, W. V. 20 1986 Approximation-solvability of periodic boundary value problems via the A- proper mapping theory. Zbl 0608.47060Petryshyn, W. V. 4 1986 On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit. Zbl 0581.70024Petryshyn, W. V.; Yu, Z. S. 10 1985 Boundary value problems at resonance for certain semilinear ordinary differential equations. Zbl 0529.34023Petryshyn, W. V.; Yu, Z. S. 2 1984 Some further results on periodic solutions of certain higher order nonlinear differential equations. Zbl 0575.34031Petryshyn, 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 0513.34020Petryshyn, W. V.; Yu, Z. S. 6 1983 Periodic solutions of certain higher order nonlinear differential equations. Zbl 0523.34041Petryshyn, W. V.; Yu, Z. S. 4 1983 Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030Petryshyn, W. V.; Yu, Z. S. 3 1983 Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047Petryshyn, W. V. 3 1983 Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015Petryshyn, W. V.; Yu, Z. S. 19 1982 Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019Petryshyn, W. V.; Yu, Z. S. 17 1982 On connected components of solutions of nonlinear eigenvalue problems. Zbl 0539.47043Fitzpatrick, 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 0474.47028Petryshyn, W. V. 23 1981 Variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0477.35041Petryshyn, 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 0444.47046Petryshyn, W. V. 21 1980 Solvability of linear and quasilinear elliptic boundary value problems via the A-proper mapping theory. Zbl 0469.35048Petryshyn, W. V. 3 1980 Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps. Zbl 0458.47044Petryshyn, W. V. 6 1979 Solvability of semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045Petryshyn, W. V. 5 1979 On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038Petryshyn, W. V. 5 1979 Existence of nonzero fixed points for noncompact mappings in wedges and cones. Zbl 0428.47032Petryshyn, W. V. 4 1979 Some applications of A-proper mappings. Zbl 0416.35030Fitzpatrick, P. M.; Petryshyn, W. V. 1 1979 On the nonlinear eigenvalue problem \(T(u)=\lambda C(u)\), involving noncompact abstract and differential operators. Zbl 0386.47033Fitzpatrick, P. M.; Petryshyn, W. V. 19 1978 Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations. Zbl 0392.47036Petryshyn, W. V. 9 1978 Existence theorems for semilinear abstract and differential equations with noninvertible linear parts and noncompact perturbations. Zbl 0456.47050Petryshyn, W. V. 7 1978 Galerkin methods in the constructive solvability of nonlinear Hammerstein equations with applications to differential equations. Zbl 0392.45014Fitzpatrick, P. M.; Petryshyn, W. V. 6 1978 Nonlinear eigenvalue problems and the existence of nonzero fixed points for A-proper mappings. Zbl 0443.47060Petryshyn, Walter V. 5 1978 Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications. Zbl 0373.47029Milojevic, 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 0396.47030Conjura, E.; Petryshyn, W. V. 1 1978 Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings. Zbl 0367.47032Milojevic, P. S.; Petryshyn, W. V. 9 1977 Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators. Zbl 0352.47028Fitzpatrick, P. M.; Petryshyn, W. V. 12 1976 On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030Petryshyn, W. V. 4 1976 Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators. Zbl 0352.47029Petryshyn, W. V. 3 1976 On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings. Zbl 0303.47038Petryshyn, W. V. 71 1975 Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022Fitzpatrick, P. M.; Petryshyn, W. V. 32 1975 Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems. Zbl 0297.47050Petryshyn, W. V. 13 1975 Fredholm alternative for nonlinear k-ball-contractive mappings with applications. Zbl 0292.47057Petryshyn, W. V. 11 1975 Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047Fitzpatrick, P. M.; Petryshyn, W. V. 47 1974 A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049Petryshyn, W. V.; Fitzpatrick, P. M. 46 1974 Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038Petryshyn, W. V.; Fitzpatrick, P. M. 24 1974 Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings. Zbl 0262.47038Petryshyn, W. V.; Williamson, T. E. jun. 68 1973 Fixed point theorems for various classes of 1-set-contractive and 1-ball- contractive mappings in Banach spaces. Zbl 0277.47033Petryshyn, W. V. 45 1973 Degree theory for noncompact multivalued vector fields. Zbl 0267.47033Petryshyn, 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 0266.47057Petryshyn, W. V.; Fitzpatrick, P. M. 6 1973 Remarks on condensing and \(k\)-set-contractive mappings. Zbl 0238.47041Petryshyn, W. V. 41 1972 A new fixed point theorem and its application. Zbl 0231.47030Petryshyn, W. V. 9 1972 On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039Petryshyn, W. V. 5 1972 Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031Petryshyn, W. V. 5 1972 A necessary and sufficient condition for the convergence of a sequence of iterates for quasi-nonexpansive mappings. Zbl 0262.47037Petryshyn, W. V.; Williamson, T. E. jun. 3 1972 Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028Petryshyn, W. V. 52 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 0218.47029Petryshyn, W. V. 17 1971 New existence theorems for nonlinear equations of Hammerstein type. Zbl 0236.47057Petryshyn, W. V.; Fitzpatrick, P. M. 14 1971 Remarks on strict monotonicity and surjectivity properties of duality mappings defined on real normed linear spaces. Zbl 0214.37404DePrima, C. R.; Petryshyn, W. V. 3 1971 Surjectivity theorems for odd maps of A-proper type. Zbl 0203.46001Petryshyn, W. V. 3 1971 A characterization of strict convexity of Banach spaces and other uses of duality mappings. Zbl 0199.44004Petryshyn, W. V. 66 1970 Nonlinear equations involving noncompact operators. Zbl 0232.47070Petryshyn, W. V. 18 1970 Invariance of domain theorem for locally A-proper mappings and its implications. Zbl 0197.40501Petryshyn, W. V. 15 1970 On existence theorems for nonlinear equations involving noncompact mappings. Zbl 0202.42803Petryshyn, W. V. 8 1970 Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space. Zbl 0202.41901Petryshyn, W. V. 2 1970 Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces. Zbl 0177.42702Browder, F. E.; Petryshyn, W. V. 80 1969 On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501Petryshyn, W. V.; Tucker, T. S. 18 1969 Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings. Zbl 0187.06204Petryshyn, W. V. 8 1969 On the approximation-solvability of nonlinear equations. Zbl 0162.20301Petryshyn, W. V. 37 1968 On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902Petryshyn, W. V. 29 1968 The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Zbl 0164.17003Browder, F. E.; Petryshyn, W. V. 25 1968 On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804Petryshyn, W. V. 21 1968 Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space. Zbl 0167.15003Petryshyn, W. V. 10 1968 Iterative construction of fixed points of contractive type mappings in Banach spaces. Zbl 0187.09301Petryshyn, W. V. 4 1968 On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations. Zbl 0164.17301Petryshyn, W. V. 4 1968 On the approximation-solvability of nonlinear functional equations in normed linear spaces. Zbl 0187.09202Petryshyn, W. V. 1 1968 Construction of fixed points of nonlinear mappings in Hilbert space. Zbl 0153.45701Browder, F. E.; Petryshyn, W. V. 569 1967 Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202Petryshyn, W. V. 34 1967 On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods. Zbl 0189.47502Petryshyn, W. V. 31 1967 Remarks on the approximation-solvability of nonlinear functional equations. Zbl 0166.12701Petryshyn, W. V. 21 1967 Remarks on fixed point theorems and their extensions. Zbl 0167.44503Petryshyn, W. V. 6 1967 The solution by iteration of nonlinear functional equations in Banach spaces. Zbl 0138.08202Browder, F. E.; Petryshyn, W. V. 133 1966 Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802Petryshyn, W. V. 55 1966 The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201Browder, F. E.; Petryshyn, W. V. 51 1966 On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems. Zbl 0149.10602Petryshyn, W. V. 29 1966 On a fixed point theorem for nonlinear P-compact operators in Banach space. Zbl 0142.11201Petryshyn, W. V. 22 1966 On the extension and the solution of nonlinear operator equations. Zbl 0139.31503Petryshyn, W. V. 20 1966 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0149.10603Petryshyn, W. V. 15 1966 Further remarks on nonlinear P-compact operators in Banach space. Zbl 0142.11202Petryshyn, W. V. 1 1966 On a class of K-p.d. and non-K-p.d. operators and operator equations. Zbl 0135.36503Petryshyn, W. V. 28 1965 On the extrapolated Jacobi or simultaneous displacements method in the solution of matrix and operator equations. Zbl 0131.33801Petryshyn, W. V. 12 1965 On the inversion of matrices and linear operators. Zbl 0151.19301Petryshyn, W. V. 7 1965 Constructional proof of Lax-Milgram lemma and its application to non-K-p. d. abstract and differential operator equations. Zbl 0139.09002Petryshyn, W. V. 6 1965 On two variants of a method for the solution of linear equations with unbounded operators and their applications. Zbl 0135.36601Petryshyn, W. V. 3 1965 On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701Petryshyn, W. V. 11 1963 On the generalized overrelaxation method for operation equations. Zbl 0128.11602Petryshyn, W. V. 7 1963 Direct and iterative methods for the solution of linear operator equations in Hilbert space. Zbl 0106.09301Petryshyn, W. V. 33 1962 The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804Petryshyn, W. V. 8 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,299 Authors 66 Petryshyn, Walter Wolodymyr 40 Yao, Jen-Chih 39 Qin, Xiaolong 37 O’Regan, Donal 32 Ceng, Lu-Chuan 29 Kang, Shin Min 26 Chidume, Charles Ejike 25 Kumam, Poom 24 Zegeye, Habtu 23 Chang, Shih-Sen 23 Shahzad, Naseer 22 Cho, Sun Young 20 Yao, Yonghong 19 Browder, Felix Earl 19 Shehu, Yekini 19 Zhou, Haiyun 18 Agarwal, Ravi P. 18 Cho, Yeol Je 18 Marino, Giuseppe 17 Liou, Yeongcheng 17 Takahashi, Wataru 15 Fitzpatrick, Patrick Michael 15 Jung, Jong Soo 15 Morales, Claudio H. 13 Huang, Nan-Jing 13 Jeribi, Aref 13 Webb, Jeffrey Ronald Leslie 12 Kartsatos, Athanassios G. 12 Kim, Jong Kyu 12 Reich, Simeon 12 Wangkeeree, Rabian 11 Ding, Xie Ping 11 Kohlenbach, Ulrich Wilhelm 11 Lan, Kunquan 11 Su, Yongfu 10 Ansari, Qamrul Hasan 10 Chen, Yuqing 10 Iiduka, Hideaki 10 Nashine, Hemant Kumar 10 Xu, Hong-Kun 9 Kirk, William Arthur 9 Mewomo, Oluwatosin Temitope 9 Ntouyas, Sotiris K. 9 Rafiq, Arif 9 Shang, Meijuan 8 Ahmad, Bashir 8 Hu, Changsong 8 Khan, Abdul Rahim 8 Kim, In-Sook 8 Krichen, Bilel 8 Leuştean, Laurenţiu 8 López Acedo, Genaro 8 Osilike, Micah Okwuchukwu 8 Peng, Jianwen 8 Welsh, Stewart C. 7 Ahmad, Rais 7 Colao, Vittorio 7 Drábek, Pavel 7 Eslamian, Mohammad 7 Hussain, Nawab 7 Jaiboon, Chaichana 7 Kadelburg, Zoran 7 Kangtunyakarn, Atid 7 Muglia, Luigi 7 Postolache, Mihai 7 Verma, Ram U. 7 Wang, Lin 7 Xu, Shaoyuan 7 Zima, Mirosława 6 Bruck, Ronald E. jun. 6 Cai, Gang 6 Chen, Rudong 6 Cholamjiak, Prasit 6 Górnicki, Jarosław 6 Hao, Yan 6 Haraux, Alain 6 Kazmi, Kaleem Raza 6 Lin, Lai-Jiu 6 Maingé, Paul-Emile 6 Milojevic, Petronije S. 6 Moore, Chika 6 Nashed, M. Zuhair 6 Ogbuisi, Ferdinard Udochukwu 6 Park, Sehie 6 Petruşel, Adrian 6 Singh, Thakur Balwant 6 Suantai, Suthep 6 Tianchai, Pattanapong 6 Wen, Chingfeng 6 Zalas, Rafał 5 Ali, Bashir 5 Chan, Chi Kin 5 Djitté, Ngalla 5 Dotson, W. G. jun. 5 Dunn, John C. 5 Garcia-Falset, Jesús 5 Grigorieff, Rolf Dieter 5 Gu, Feng 5 Isiogugu, Felicia Obiageli 5 Kamraksa, Uthai ...and 1,199 more Authors all top 5 Cited in 220 Serials 188 Journal of Mathematical Analysis and Applications 138 Fixed Point Theory and Applications 104 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 72 Nonlinear Analysis. Theory, Methods & Applications 48 Applied Mathematics and Computation 46 Journal of Inequalities and Applications 44 Abstract and Applied Analysis 39 Numerical Functional Analysis and Optimization 38 Proceedings of the American Mathematical Society 31 Computers & Mathematics with Applications 25 Journal of Computational and Applied Mathematics 23 Applied Mathematics Letters 23 Bulletin of the American Mathematical Society 22 Transactions of the American Mathematical Society 18 Numerische Mathematik 18 Journal of Fixed Point Theory and Applications 17 Journal of Differential Equations 17 Applied Mathematics and Mechanics. (English Edition) 17 Journal of Global Optimization 16 Journal of Functional Analysis 16 Journal of Optimization Theory and Applications 16 Optimization 15 Mathematical and Computer Modelling 15 Journal of Applied Mathematics 15 Journal of Applied Mathematics and Computing 13 Mathematische Zeitschrift 12 Applicable Analysis 12 Archive for Rational Mechanics and Analysis 11 International Journal of Mathematics and Mathematical Sciences 11 Linear Algebra and its Applications 11 Journal of Nonlinear Science and Applications 10 Mathematische Annalen 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Bulletin of the Australian Mathematical Society 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Mediterranean Journal of Mathematics 8 Ukrainian Mathematical Journal 8 Zeitschrift für Analysis und ihre Anwendungen 7 Israel Journal of Mathematics 7 Journal of Soviet Mathematics 7 Mathematische Nachrichten 7 Acta Mathematica Sinica. English Series 6 Mathematics of Computation 6 Archiv der Mathematik 6 Computing 6 Czechoslovak Mathematical Journal 6 Journal of Approximation Theory 6 Manuscripta Mathematica 6 Boundary Value Problems 5 Rocky Mountain Journal of Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Stochastic Analysis and Applications 5 Journal of Convex Analysis 5 Journal of Applied Analysis 5 Afrika Matematika 4 Advances in Mathematics 4 Numerical Algorithms 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Positivity 4 Discrete Dynamics in Nature and Society 4 Analysis in Theory and Applications 4 Advances in Difference Equations 4 Nonlinear Analysis. Hybrid Systems 4 Journal of Nonlinear Analysis and Optimization: Theory & Applications 4 Journal of Mathematics 3 Journal of Mathematical Physics 3 Glasgow Mathematical Journal 3 Mathematica Slovaca 3 Results in Mathematics 3 Aequationes Mathematicae 3 SIAM Journal on Optimization 3 Topological Methods in Nonlinear Analysis 3 Mathematical Problems in Engineering 3 Vietnam Journal of Mathematics 3 Taiwanese Journal of Mathematics 3 Nonlinear Analysis. Real World Applications 3 Central European Journal of Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 ISRN Mathematical Analysis 3 Journal of Function Spaces 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales de l’Institut Fourier 2 Calcolo 2 Demonstratio Mathematica 2 Functional Analysis and its Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Annals of Pure and Applied Logic 2 Numerical Methods for Partial Differential Equations 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Programming. Series A. Series B ...and 120 more Serials all top 5 Cited in 46 Fields 1,159 Operator theory (47-XX) 278 Numerical analysis (65-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 157 Ordinary differential equations (34-XX) 132 General topology (54-XX) 100 Partial differential equations (35-XX) 81 Operations research, mathematical programming (90-XX) 71 Functional analysis (46-XX) 42 Integral equations (45-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Algebraic topology (55-XX) 26 Approximations and expansions (41-XX) 25 Probability theory and stochastic processes (60-XX) 20 Mathematical logic and foundations (03-XX) 18 Biology and other natural sciences (92-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Real functions (26-XX) 7 Information and communication theory, circuits (94-XX) 6 Difference and functional equations (39-XX) 6 Differential geometry (53-XX) 5 Potential theory (31-XX) 5 Sequences, series, summability (40-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-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 Convex and discrete geometry (52-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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