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Petryshyn, Walter Wolodymyr

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Author ID: petryshyn.wolodymyr-v Recent zbMATH articles by "Petryshyn, Walter Wolodymyr"
Published as: Petryshyn, W. V.; Petryshyn, Walter V.; Petryshyn, Wolodymyr V.
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Documents Indexed: 102 Publications since 1962, including 2 Books

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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 0153.45701
Browder, F. E.; Petryshyn, W. V.
569
1967
The solution by iteration of nonlinear functional equations in Banach spaces. Zbl 0138.08202
Browder, F. E.; Petryshyn, W. V.
133
1966
Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces. Zbl 0177.42702
Browder, F. E.; Petryshyn, W. V.
80
1969
On the approximation-solvability of equations involving A-proper and pseudo-A-proper mappings. Zbl 0303.47038
Petryshyn, W. V.
71
1975
Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings. Zbl 0262.47038
Petryshyn, W. V.; Williamson, T. E. jun.
68
1973
A characterization of strict convexity of Banach spaces and other uses of duality mappings. Zbl 0199.44004
Petryshyn, W. V.
66
1970
Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802
Petryshyn, W. V.
55
1966
Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028
Petryshyn, W. V.
52
1971
The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201
Browder, F. E.; Petryshyn, W. V.
51
1966
Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047
Fitzpatrick, P. M.; Petryshyn, W. V.
47
1974
A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049
Petryshyn, 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 0277.47033
Petryshyn, W. V.
45
1973
Remarks on condensing and \(k\)-set-contractive mappings. Zbl 0238.47041
Petryshyn, W. V.
41
1972
On the approximation-solvability of nonlinear equations. Zbl 0162.20301
Petryshyn, W. V.
37
1968
Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202
Petryshyn, W. V.
34
1967
Direct and iterative methods for the solution of linear operator equations in Hilbert space. Zbl 0106.09301
Petryshyn, W. V.
33
1962
Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022
Fitzpatrick, 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 0189.47502
Petryshyn, W. V.
31
1967
On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902
Petryshyn, W. V.
29
1968
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
The topological degree and Galerkin approximations for noncompact operators in Banach spaces. Zbl 0164.17003
Browder, F. E.; Petryshyn, W. V.
25
1968
Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038
Petryshyn, 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 0474.47028
Petryshyn, W. V.
23
1981
On a fixed point theorem for nonlinear P-compact operators in Banach space. Zbl 0142.11201
Petryshyn, W. V.
22
1966
Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040
Petryshyn, 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 0444.47046
Petryshyn, W. V.
21
1980
On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804
Petryshyn, W. V.
21
1968
Remarks on the approximation-solvability of nonlinear functional equations. Zbl 0166.12701
Petryshyn, W. V.
21
1967
Solvability of various boundary value problems for the equation \(x''=f(t,x,x',x'')-y\). Zbl 0585.34020
Petryshyn, W. V.
20
1986
On the extension and the solution of nonlinear operator equations. Zbl 0139.31503
Petryshyn, W. V.
20
1966
Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015
Petryshyn, W. V.; Yu, Z. S.
19
1982
On the nonlinear eigenvalue problem \(T(u)=\lambda C(u)\), involving noncompact abstract and differential operators. Zbl 0386.47033
Fitzpatrick, P. M.; Petryshyn, W. V.
19
1978
Nonlinear equations involving noncompact operators. Zbl 0232.47070
Petryshyn, W. V.
18
1970
On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501
Petryshyn, W. V.; Tucker, T. S.
18
1969
Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019
Petryshyn, 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 0218.47029
Petryshyn, W. V.
17
1971
Invariance of domain theorem for locally A-proper mappings and its implications. Zbl 0197.40501
Petryshyn, W. V.
15
1970
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.
12
1976
On the extrapolated Jacobi or simultaneous displacements method in the solution of matrix and operator equations. Zbl 0131.33801
Petryshyn, W. V.
12
1965
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
On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701
Petryshyn, W. V.
11
1963
Multiple positive fixed points of multivalued condensing mappings with some applications. Zbl 0631.47044
Petryshyn, W. V.
10
1987
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
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
Generalized topological degree and semilinear equations. Zbl 0834.47053
Petryshyn, W. V.
9
1995
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
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
A new fixed point theorem and its application. Zbl 0231.47030
Petryshyn, W. V.
9
1972
On existence theorems for nonlinear equations involving noncompact mappings. Zbl 0202.42803
Petryshyn, W. V.
8
1970
Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings. Zbl 0187.06204
Petryshyn, W. V.
8
1969
The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804
Petryshyn, W. V.
8
1962
Existence theorems for semilinear abstract and differential equations with noninvertible linear parts and noncompact perturbations. Zbl 0456.47050
Petryshyn, W. V.
7
1978
Degree theory for noncompact multivalued vector fields. Zbl 0267.47033
Petryshyn, W. V.; Fitzpatrick, P. M.
7
1973
On the inversion of matrices and linear operators. Zbl 0151.19301
Petryshyn, W. V.
7
1965
On the generalized overrelaxation method for operation equations. Zbl 0128.11602
Petryshyn, 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 0513.34020
Petryshyn, W. V.; Yu, Z. S.
6
1983
Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps. Zbl 0458.47044
Petryshyn, W. V.
6
1979
Galerkin methods in the constructive solvability of nonlinear Hammerstein equations with applications to differential equations. Zbl 0392.45014
Fitzpatrick, 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 0266.47057
Petryshyn, W. V.; Fitzpatrick, P. M.
6
1973
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 semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045
Petryshyn, W. V.
5
1979
On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038
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
On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039
Petryshyn, W. V.
5
1972
Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031
Petryshyn, W. V.
5
1972
Approximation-solvability of periodic boundary value problems via the A- proper mapping theory. Zbl 0608.47060
Petryshyn, W. V.
4
1986
Periodic solutions of certain higher order nonlinear differential equations. Zbl 0523.34041
Petryshyn, W. V.; Yu, Z. S.
4
1983
Existence of nonzero fixed points for noncompact mappings in wedges and cones. Zbl 0428.47032
Petryshyn, W. V.
4
1979
On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030
Petryshyn, W. V.
4
1976
Iterative construction of fixed points of contractive type mappings in Banach spaces. Zbl 0187.09301
Petryshyn, W. V.
4
1968
On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations. Zbl 0164.17301
Petryshyn, W. V.
4
1968
Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030
Petryshyn, W. V.; Yu, Z. S.
3
1983
Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047
Petryshyn, W. V.
3
1983
Solvability of linear and quasilinear elliptic boundary value problems via the A-proper mapping theory. Zbl 0469.35048
Petryshyn, W. V.
3
1980
Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications. Zbl 0373.47029
Milojevic, P. S.; Petryshyn, W. V.
3
1978
Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators. Zbl 0352.47029
Petryshyn, W. V.
3
1976
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.
3
1972
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
On two variants of a method for the solution of linear equations with unbounded operators and their applications. Zbl 0135.36601
Petryshyn, W. V.
3
1965
Boundary value problems at resonance for certain semilinear ordinary differential equations. Zbl 0529.34023
Petryshyn, W. V.; Yu, Z. S.
2
1984
Variational solvability of quasilinear elliptic boundary value problems at resonance. Zbl 0477.35041
Petryshyn, W. V.
2
1981
Remarks on the generalized overrelaxation and the extrapolated Jacobi methods for operator equations in Hilbert space. Zbl 0202.41901
Petryshyn, W. V.
2
1970
Existence and multiplicity results for nonstandard semilinear biharmonic boundary value problems. Zbl 0866.35044
Petryshyn, 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 0753.47043
Petryshyn, W. V.
1
1992
Fixed point theorems for semidifferentiable k-set-contractions in ordered Banach spaces. Zbl 0654.47037
Petryshyn, W. V.
1
1988
Existence of positive eigenvectors and fixed points for A-proper type maps in cones. Zbl 0637.47027
Petryshyn, W. V.
1
1987
Some further results on periodic solutions of certain higher order nonlinear differential equations. Zbl 0575.34031
Petryshyn, W. V.
1
1984
On connected components of solutions of nonlinear eigenvalue problems. Zbl 0539.47043
Fitzpatrick, P. M.; Petryshyn, W. V.
1
1982
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
On the approximation-solvability of nonlinear functional equations in normed linear spaces. Zbl 0187.09202
Petryshyn, W. V.
1
1968
Further remarks on nonlinear P-compact operators in Banach space. Zbl 0142.11202
Petryshyn, W. V.
1
1966
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.
9
1995
Approximation-solvability of nonlinear functional and differential equations. Zbl 0772.65040
Petryshyn, Wolodymyr V.
21
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.
1
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.
20
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
Nonresonance and existence for nonlinear BV problems. Zbl 0561.35030
Petryshyn, W. V.; Yu, Z. S.
3
1983
Some results on multiple positive fixed points of multivalued condensing maps. Zbl 0531.47047
Petryshyn, W. V.
3
1983
Existence theorems for higher order nonlinear periodic boundary value problems. Zbl 0525.34015
Petryshyn, W. V.; Yu, Z. S.
19
1982
Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative. Zbl 0516.34019
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.
21
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
Solvability of semilinear elliptic boundary value problems at resonance via the A-proper type operator theory. Zbl 0631.47045
Petryshyn, W. V.
5
1979
On the solvability of nonlinear equations involving abstract and differential operators. Zbl 0418.47038
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.
7
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.
6
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.
12
1976
On the relationship of A-properness to mappings of monotone type with applications to elliptic equations. Zbl 0373.47030
Petryshyn, W. V.
4
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.
71
1975
Fixed point theorems and the fixed point index for multivalued mappings in cones. Zbl 0329.47022
Fitzpatrick, P. M.; Petryshyn, W. V.
32
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
Fixed point theorems for multivalued noncompact acyclic mappings. Zbl 0312.47047
Fitzpatrick, P. M.; Petryshyn, W. V.
47
1974
A degree theory, fixed point theorems, and mapping theorems for multivalued noncompact mappings. Zbl 0297.47049
Petryshyn, W. V.; Fitzpatrick, P. M.
46
1974
Fixed-point theorems for multivalued noncompact inward maps. Zbl 0287.47038
Petryshyn, W. V.; Fitzpatrick, P. M.
24
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.
68
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.
45
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.
41
1972
A new fixed point theorem and its application. Zbl 0231.47030
Petryshyn, W. V.
9
1972
On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications. Zbl 0261.47039
Petryshyn, W. V.
5
1972
Note on the structure of fixed point sets of 1-set-contractions. Zbl 0231.47031
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.
3
1972
Structure of the fixed points sets of k-set-contractions. Zbl 0218.47028
Petryshyn, 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 0218.47029
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.
66
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.
80
1969
On the functional equations involving nonlinear generalized P-compact operators. Zbl 0174.19501
Petryshyn, W. V.; Tucker, T. S.
18
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.
37
1968
On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators. Zbl 0176.45902
Petryshyn, W. V.
29
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.
21
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.
4
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.
1
1968
Construction of fixed points of nonlinear mappings in Hilbert space. Zbl 0153.45701
Browder, F. E.; Petryshyn, W. V.
569
1967
Projection methods in nonlinear numerical functional analysis. Zbl 0162.20202
Petryshyn, W. V.
34
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.
31
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.
133
1966
Construction of fixed points of demicompact mappings in Hilbert space. Zbl 0138.39802
Petryshyn, W. V.
55
1966
The solution by iteration of linear functional equations in Banach spaces. Zbl 0138.08201
Browder, F. E.; Petryshyn, W. V.
51
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.
20
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.
12
1965
On the inversion of matrices and linear operators. Zbl 0151.19301
Petryshyn, W. V.
7
1965
Constructional proof of Lax-Milgram lemma and its application to non-K-p. d. abstract and differential operator equations. Zbl 0139.09002
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.
3
1965
On a general iterative method for the approximate solution of linear operator equations. Zbl 0111.31701
Petryshyn, W. V.
11
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.
33
1962
The generalized overrelaxation method for the approximate solution of operator equations in Hilbert space. Zbl 0106.31804
Petryshyn, W. V.
8
1962
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)

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