\(A\)-properness and fixed point theorems for sums of dissipative and ball-condensing maps

DOI10.1006/jmaa.2000.6792zbMath0966.47041OpenAlexW1964325771MaRDI QIDQ1570220

Kunquan Lan

Publication date: 9 July 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6792

zbMATH Keywords

fixed point index\(A\)-propernesssums of dissipative and ball-condensing mapsweakly inward \(A\)-proper maps

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Zeros of m-accretive operators in Banach spaces
• Some mapping theorems for accretive operators in Banach spaces
• \(A\)-properness of contractive and condensing maps
• Remarks on the approximation-solvability of nonlinear functional equations
• On nonlinear mappings of strongly semicontractive type
• New positive fixed point and eigenvalue results for Pγ-compact maps and some applications
• Some Properties of the Set and Ball Measures of Non-Compactness and Applications
• On a Property of Duality Mappings and the A -Properness of Accretive Operators
• Existence theorems for sums of K-ball contractions and accretive operators via A-proper mappings
• Global bifurcation theory via Galerkin's method
• On the Structure of the Set of Solutions of Equations Involving A-Proper Mappings
• On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• A generalization of Leray-Schauder theorem and surjectivity results for multivalued A-proper and pseudo A-proper mappings
• A fixed point index for generalized inward mappings of condensing type
• A -Properness and Fixed Points of Weakly Inward Mappings
• A Fixed-Point Theorem for Inward and Outward Maps
• A fixed point index for weakly inward A-proper maps
• A fixed point theory for weakly inward \(S\)-contractive maps
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