Approximation of *-nonexpansive random multivalued operators on Banach spaces

DOI10.1017/S1446788700008697zbMath1072.47055OpenAlexW1986326906WikidataQ60499840 ScholiaQ60499840MaRDI QIDQ4820571

Ismat Beg, Nawab Hussain, Abdul Rahim Khan

Publication date: 15 October 2004

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

Full work available at URL: https://doi.org/10.1017/s1446788700008697

zbMATH Keywords

random fixed pointOpial conditionLeray-Schauder conditionrandom approximation\(^*\)-nonexpansive random multivalued mapweakly inward operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random operators and equations (aspects of stochastic analysis) (60H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Random nonlinear operators (47H40)

Related Items (12)

RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES ⋮ Weak contractive inequalities and compatible mixed monotone random operators in ordered metric spaces ⋮ Coincidence and invariant approximation theorems for generalized \(f\)-nonexpansive multivalued mappings ⋮ Coupled coincidence points for mixed monotone random operators in partially ordered metric spaces ⋮ Convergence of multivalued mappings via approximable measurable selectors ⋮ Fixed point, approximate fixed point and Kantorovich--Rubinstein maximum principle in convex metric spaces ⋮ VISCOSITY APPROXIMATION METHODS OF RANDOM FIXED POINT SOLUTIONS AND RANDOM VARIATIONAL INEQUALITIES IN HILBERT SPACES ⋮ Random fixed point theorems for Caristi type random operators ⋮ Coincidence point theorems for multivalued \(f\)-weak contraction mappings and applications ⋮ Some generalizations of Ky Fan’s best approximation theorem ⋮ Fixed point and common fixed point results in cone metric space and application to invariant approximation ⋮ Fixed point sets of set-valued mappings

Cites Work

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• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Random Approximations and Random Fixed Point Theorems for Non-Self-Maps
• Fixed point theorems for multivalued mappings in Banach spaces
• Nonlinear operator approximation theory
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• On random approximations and a random fixed point theorem for multivalued mappings defined on unbounded sets in hilbert spaces
• Random Approximations and Random Fixed Point Theorems for Continuous 1-Set- Contractive Random Maps
• Random fixed points for *-nonexpansive random operators

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