The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings

DOI10.2307/2047608zbMath0694.47041OpenAlexW4247887833MaRDI QIDQ3469786

Guozhen Li

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047608

zbMATH Keywords

fixed-point index of 1-set-contraction mappingsfixed-point theorem of 1-set-contraction mappingssemiclosed 1-set-contraction mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (15)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Generalizations of Krasnoselskii's theorem and Petryshyn's theorem ⋮ Boundary conditions for 1-set contractions maps in Banach spaces ⋮ Measures of weak noncompactness and fixed point theory for 1-set weakly contractive operators on unbounded domains ⋮ The fixed point theorems of 1-set-contractive operators in Banach space ⋮ Calculations of a random fixed point index of a random semi-closed 1-set-contractive operator ⋮ Fixed point index theory for perturbation of expansive mappings by \(k\)-set contractions ⋮ New fixed point theorems for 1-set-contractive operators in Banach spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Inequalities and solution of an operator equation ⋮ Calculations of random fixed point index ⋮ Fixed point theorems of 1-set-contractive operators in Banach spaces ⋮ Generalizations of fixed-point theorems of Altman and Rothe types ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces ⋮ Some problems in the \(\mathbb{Z}\)-\(\mathbb{C}\)-\(X\) space

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