Altman's contractors and Matkowski's fixed point theorem

DOI10.1016/0362-546X(81)90003-1zbMath0488.47030OpenAlexW2092999493MaRDI QIDQ3949579

K. Balakrishna Reddy, Papagudi Venkatachalam Subrahmanyam

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90003-1

zbMATH Keywords

implicit function theoremcoincidence theoremexistence of solutions for systems of operator equations in Banach spacessystem of evolution equations in Banach spaces

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (2)

Random step contractors and Matkowski's fixed point theorem ⋮ Existence, uniqueness and approximation of solutions for a system of nonlinear random operator equations

Cites Work

• Contractor directions, directional contractors and directional contractions for solving equations
• Contractors, approximate identities and factorization in Banach algebras
• Directional contractors and equations in Banach spaces
• An Integral Test for Series and Generalized Contractions
• A class of majorant functions for contractors and equations
• Inverse differentiability contractors and equations in Banach spaces
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