Some random approximations and random fixed point theorems for 1-set-contractive random operators

DOI10.1090/S0002-9939-97-03589-2zbMath0869.47031MaRDI QIDQ4332977

Li Shan Liu

Publication date: 19 February 1997

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

zbMATH Keywords

1-set-contractive random operatorLANE random operatorsRandom approximations and random fixed point theoremssemicontractive random operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Random operators and equations (aspects of stochastic analysis) (60H25) Random nonlinear operators (47H40)

Related Items (15)

Random fixed points of pseudo-contractive random operators ⋮ Random fixed points of \(K\)-set- and pseudo-contractive random maps ⋮ Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Calculations of random fixed point index ⋮ Random fixed point theorems for 1-set-contractive multivalued random maps ⋮ Random fixed point theorems for composites of acyclic multifunctions ⋮ On Random Approximations and Random Fixed Point Theorems for 1‐Set‐Contractive Random Maps ⋮ Random fixed point equations and inverse problems using ``collage method for contraction mappings ⋮ Random fixed points of discontinuous random maps ⋮ Approximation of random fixed points in normed spaces ⋮ Random fixed points for several classes of 1-ball-contractive and 1-set-contractive random maps ⋮ Some problems in the \(\mathbb{Z}\)-\(\mathbb{C}\)-\(X\) space

Cites Work

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• Random integral equations
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Extensions of two fixed point theorems of F. E. Browder
• The fixed point index for local condensing maps
• Random Fixed Point Theorems for Measurable Multifunctions in Banach Spaces
• On Random Approximations and a Random Fixed Point Theorem for Set Valued Mappings
• Random Approximations and Random Fixed Point Theorems for Non-Self-Maps
• A Note on a Theorem of Ky Fan
• Fixed point theorems in probabilistic analysis
• Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space
• Random Approximations and Random Fixed Point Theorems for Continuous 1-Set- Contractive Random Maps
• Some Random Fixed Point Theorems for Condensing Operators
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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