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Volumn 23, Issue 5-6, 2002, Pages 477-493

Nearness, accretivity, and the solvability of nonlinear equations

Author keywords

Accretive operators; Approximation; Fully nonlinear PDE; Implicit function theorems; Nearness

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; POLES AND ZEROS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0036697625     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-120014748     Document Type: Article
Times cited : (10)

References (38)
  • 1
    • 0003796630 scopus 로고
    • Academic Press: New York/San Francisco/London
    • Adams, R.A. Sobolev Spaces; Academic Press: New York/San Francisco/London, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0000136712 scopus 로고
    • Implicit function theorems for monotone mappings
    • Alt, W.; Kolumbán, I. Implicit Function Theorems for Monotone Mappings. Kybernetika 1993, 29, 210-221.
    • (1993) Kybernetika , vol.29 , pp. 210-221
    • Alt, W.1    Kolumbán, I.2
  • 5
    • 84931125653 scopus 로고
    • Nonlinear equations of evolution and nonlinear accretive operators in banach spaces
    • Browder, F.E. Nonlinear Equations of Evolution and Nonlinear Accretive Operators in Banach Spaces. Bull. AMS 1967, 73, 867-874.
    • (1967) Bull. AMS , vol.73 , pp. 867-874
    • Browder, F.E.1
  • 6
    • 84966243977 scopus 로고
    • Generalization of accretivity for nonlinear mappings of banach spaces
    • Browder, F.E. Generalization of Accretivity for Nonlinear Mappings of Banach Spaces. Bull. AMS 1972, 78, 93-98.
    • (1972) Bull. AMS , vol.78 , pp. 93-98
    • Browder, F.E.1
  • 7
    • 85041885180 scopus 로고    scopus 로고
    • Data dependence theorems on coincidence problems
    • Buicǎ, A. Data Dependence Theorems on Coincidence Problems. Studia Univ. Babes-Bolyai 1996, 41, 33-40.
    • (1996) Studia Univ. Babes-Bolyai , vol.41 , pp. 33-40
    • Buicǎ, A.1
  • 8
    • 85041883752 scopus 로고    scopus 로고
    • Existence of strong solutions of fully nonlinear elliptic equations
    • Submitted
    • Buicǎ, A. Existence of Strong Solutions of Fully Nonlinear Elliptic Equations, Submitted.
    • Buicǎ, A.1
  • 10
    • 0010705395 scopus 로고
    • Further contribution to the theory of near mappings
    • Campanato, S. Further Contribution to the Theory of Near Mappings. Le Matematiche 1993, 48, 183-187.
    • (1993) Le Matematiche , vol.48 , pp. 183-187
    • Campanato, S.1
  • 11
    • 0010700348 scopus 로고
    • A cordes type condition for nonlinear variational systems
    • Campanato, S. A Cordes Type Condition for Nonlinear Variational Systems. Rend. Acc. Naz. delle Sc. 1989, 107, 307-321.
    • (1989) Rend. Acc. Naz. Delle Sc. , vol.107 , pp. 307-321
    • Campanato, S.1
  • 12
    • 84966227927 scopus 로고
    • Approximation of fixed points of strongly Pseudo-contractive mappings
    • Chidume, C.E. Approximation of Fixed Points of Strongly Pseudo-Contractive Mappings, Proc. of AMS 1994, 120, 545-551.
    • (1994) Proc. of AMS , vol.120 , pp. 545-551
    • Chidume, C.E.1
  • 13
    • 0033149359 scopus 로고    scopus 로고
    • Iterative solutions of nonlinear accretive operator equations in arbitrary banach spaces
    • Chidume, C.E.; Osilike, M.O. Iterative Solutions of Nonlinear Accretive Operator Equations in Arbitrary Banach Spaces. Nonlinear Analysis 1999, 36, 863-872.
    • (1999) Nonlinear Analysis , vol.36 , pp. 863-872
    • Chidume, C.E.1    Osilike, M.O.2
  • 14
    • 0031150089 scopus 로고    scopus 로고
    • Approximation of a solution for a K-Positive definite operator equation
    • Chidume, C.E.; Osilike, M.O. Approximation of a Solution for a K-Positive Definite Operator Equation. J. Math. Anal. Appl. 1997, 210, 1-7.
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 1-7
    • Chidume, C.E.1    Osilike, M.O.2
  • 15
    • 0033165475 scopus 로고    scopus 로고
    • Approximation of zeros of m-accretive operators
    • Chidume, C.E.; Zegeye, H. Approximation of Zeros of m-Accretive Operators. Nonlinear Analysis 1999, 37, 81-96.
    • (1999) Nonlinear Analysis , vol.37 , pp. 81-96
    • Chidume, C.E.1    Zegeye, H.2
  • 16
    • 0010744763 scopus 로고    scopus 로고
    • Approximation of a solution for a K-positive definite operator equation in uniformly smooth separable banach space
    • Chuanzi, B. Approximation of a Solution for a K-Positive Definite Operator Equation in Uniformly Smooth Separable Banach Space. J. Math. Anal. Appl. 1999, 236, 236-242.
    • (1999) J. Math. Anal. Appl. , vol.236 , pp. 236-242
    • Chuanzi, B.1
  • 17
    • 0001399612 scopus 로고
    • Zeros of accretive operators
    • Deimling, K. Zeros of Accretive Operators. Manuscripta Mathematica 1974, 13, 365-375.
    • (1974) Manuscripta Mathematica , vol.13 , pp. 365-375
    • Deimling, K.1
  • 19
    • 0034230919 scopus 로고    scopus 로고
    • Implicit function theorems for m-accretive and locally accretive set-valued mappings
    • Domokos, A. Implicit Function Theorems for m-Accretive and Locally Accretive Set-Valued Mappings. Nonlinear Analysis 2000, 41, 221-241.
    • (2000) Nonlinear Analysis , vol.41 , pp. 221-241
    • Domokos, A.1
  • 20
    • 0000948820 scopus 로고
    • Implicit functions, Lipschitz maps and stability in optimization
    • Dontchev, A.L.; Hager, W.W. Implicit Functions, Lipschitz Maps and Stability in Optimization. Math. Oper. Res. 1994, 19, 753-768.
    • (1994) Math. Oper. Res. , vol.19 , pp. 753-768
    • Dontchev, A.L.1    Hager, W.W.2
  • 22
    • 0002757431 scopus 로고
    • A fixed point theorem for local pseudo-contractions in uniformly convex spaces
    • Kirk, W.A. A Fixed Point Theorem for Local Pseudo-Contractions in Uniformly Convex Spaces. Manuscripta Mathematica 1979, 30, 89-102.
    • (1979) Manuscripta Mathematica , vol.30 , pp. 89-102
    • Kirk, W.A.1
  • 23
    • 0010709880 scopus 로고
    • A coincidence theorem for mappings satisfying local conditions
    • Kirk, W.A.; Anderson, M.S. A Coincidence Theorem for Mappings Satisfying Local Conditions. Boll. UMI 1983, 2, 159-170.
    • (1983) Boll. UMI , vol.2 , pp. 159-170
    • Kirk, W.A.1    Anderson, M.S.2
  • 24
    • 0032188316 scopus 로고    scopus 로고
    • Ishikawa-type and Mann-type iterative process with errors for constructing solutions of nonlinear equations involving m-accretive operators in banach spaces
    • Lishan, L. Ishikawa-Type and Mann-Type Iterative Process with Errors for Constructing Solutions of Nonlinear Equations Involving m-Accretive Operators in Banach Spaces. Nonlinear Analysis 1998, 34, 307-317.
    • (1998) Nonlinear Analysis , vol.34 , pp. 307-317
    • Lishan, L.1
  • 25
    • 0033164482 scopus 로고    scopus 로고
    • The solution by iteration of nonlinear equations involving ψ-strongly accretive operators
    • Moore, C. The Solution by Iteration of Nonlinear Equations Involving ψ-Strongly Accretive Operators. Nonlinear Analysis 1999, 37, 125-138.
    • (1999) Nonlinear Analysis , vol.37 , pp. 125-138
    • Moore, C.1
  • 31
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • Robinson, S.M. Strongly Regular Generalized Equations. Math. Oper. Res. 1980, 5, 43-62.
    • (1980) Math. Oper. Res. , vol.5 , pp. 43-62
    • Robinson, S.M.1
  • 32
    • 0000516813 scopus 로고
    • An implicit function theorem for a class of nonsmooth functions
    • Robinson, S.M. An Implicit Function Theorem for a Class of Nonsmooth Functions. Math. Oper. Res. 1991, 16, 292-309.
    • (1991) Math. Oper. Res. , vol.16 , pp. 292-309
    • Robinson, S.M.1
  • 34
    • 0010668709 scopus 로고    scopus 로고
    • Differential equations and implicit function: A generalization of the near operators theorem
    • Tarsia, A. Differential Equations and Implicit Function: a Generalization of the Near Operators Theorem. Topol. Meth. Nonlin. Anal. 1998, 11, 115-133.
    • (1998) Topol. Meth. Nonlin. Anal. , vol.11 , pp. 115-133
    • Tarsia, A.1
  • 35
    • 0031437918 scopus 로고    scopus 로고
    • Some topological properties preserved by nearness between operators and applications to PDE
    • Tarsia, A. Some Topological Properties Preserved by Nearness Between Operators and Applications to PDE. Czech. Math. J. 1996, 46, 607-624.
    • (1996) Czech. Math. J. , vol.46 , pp. 607-624
    • Tarsia, A.1
  • 36
    • 0000561268 scopus 로고
    • Holder continuity of solutions to a parametric variational inequality
    • Yen, N.D. Holder Continuity of Solutions to a Parametric Variational Inequality. Appl. Math. Optim. 1995, 31, 245-255.
    • (1995) Appl. Math. Optim. , vol.31 , pp. 245-255
    • Yen, N.D.1
  • 38
    • 0000364797 scopus 로고    scopus 로고
    • Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without lipschitz assumption
    • Zhou, H.-Y. Stable Iteration Procedures for Strong Pseudocontractions and Nonlinear Equations Involving Accretive Operators Without Lipschitz Assumption. J. Math. Anal. Appl. 1999, 230, 1-10.
    • (1999) J. Math. Anal. Appl. , vol.230 , pp. 1-10
    • Zhou, H.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.