Calculations of a random fixed point index of a random semi-closed 1-set-contractive operator

DOI10.1016/j.mcm.2009.12.023zbMath1252.47064OpenAlexW2040348276MaRDI QIDQ604126

Jian Dong Yin, Chuan-Xi Zhu

Publication date: 8 November 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.023

zbMATH Keywords

semi-closed 1-set-contractive operatorclosed convex sethomotopy invariance propertyrandom fixed point index

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Random nonlinear operators (47H40) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (5)

Coincidence point theorems for generalized cyclic \((\kappa h,\varphi L)_s\)-weak contractions in partially ordered Menger PM-spaces ⋮ Periodic boundary value problems for first order dynamic equations on time scales ⋮ Random fixed point theorems of random comparable operators and an application ⋮ Fixed point theorems for weakly C-contractive mappings in partial metric spaces ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations

Cites Work

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• Random fixed point equations and inverse problems using ``collage method for contraction mappings
• Random fixed points of discontinuous random maps
• The existence theorems of the random solutions for random Hammerstein type nonlinear integral equations
• The existence theorems of the random solutions for random Hammerstein equation with random kernel. II
• Random fixed points of \(K\)-set- and pseudo-contractive random maps
• Random fixed points of uniformly Lipschitzian mappings
• Calculations of random fixed point index
• Several nonlinear operator problems in the Menger PN space
• On the number of solutions of nonlinear equations in ordered Banach spaces
• The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings

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