Iterative procedures for solutions of random operator equations in Banach spaces

DOI10.1016/j.jmaa.2005.05.073zbMath1093.47057OpenAlexW1976140309WikidataQ60499809 ScholiaQ60499809MaRDI QIDQ819040

Mujahid Abbas, Ismat Beg

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.073

zbMATH Keywords

fixed pointBanach spacerandom fixed pointasymptotically nonexpansive random operatorimplicit random iterative processmeasurable spacesrandom Ishikawa iterationsrandom Mann iterationsthree step random iterative processweakly contractive random operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Random nonlinear operators (47H40)

Related Items (17)

Random solution of random multivalued operator inclusions ⋮ Random fixed point theorems for random mappings ⋮ On common random fixed points of a new iteration with errors for nonself asymptotically quasi-nonexpansive type random mappings ⋮ Convergence of common random fixed point of finite family of asymptotically quasi-nonexpansive-type mappings by an implicit random iterative scheme ⋮ RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES ⋮ Approximating common random fixed point for two finite families of asymptotically nonexpansive random mappings ⋮ Approximation of a common random fixed point for a finite family of random operators ⋮ Random fixed points of asymptotically nonexpansive random operators on unbounded domains ⋮ Convergence of iterative algorithms to common random fixed points of random operators ⋮ Convergence of multivalued mappings via approximable measurable selectors ⋮ Random fixed point theorems for a random operator on an unbounded subset of a Banach space ⋮ Random three-step iteration scheme and common random fixed point of three operators ⋮ Coincidence point theorems for multivalued \(f\)-weak contraction mappings and applications ⋮ Some common random fixed point theorems for contractive type conditions in cone random metric spaces ⋮ Multi-step random iterations for approximating fixed points of asymptotically nonexpansive random operators in the intermediate sense ⋮ Approximation solvability of nonlinear random \((A,\eta )\)-resolvent operator equations with random relaxed cocoercive operators ⋮ Some random fixed-point theorems for weakly contractive random operators in a separable Banach space

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