Remarks on nonlinear functional equations

DOI10.1016/0362-546X(82)90088-8zbMath0506.47035MaRDI QIDQ4743345

Ricardo Torrejón

Publication date: 1982

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

zbMATH Keywords

maximal monotone operatorsfixed point theoremsnonlinear functional equationsm-accretive operatoradditive perturbations

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Nonlinear equations involving m-accretive operators

Cites Work

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• The range of sums of accretive and monotone operators
• Fixed point iterations of nonexpansive mappings
• Image d'une somme d'opérateurs monotones et applications
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• On a principle of H. Brezis and its applications
• Intégrales convexes dans les espaces de Sobolev
• The solvability of non-linear functional equations
• The Fixed Point Property for Non-Expansive Mappings, II
• Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators
• REMARKS ON NONLINEAR FUNCTIONAL EQUATIONS
• A Fixed Point Theorem for Mappings which do not Increase Distances
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
• A class of Markov chains with imbedded random walk

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