A Random Fixed Point Theorem for Multivalued Nonexpansive Operators in Uniformly Convex Banach Spaces

DOI10.2307/2159538zbMath0808.47044OpenAlexW4242544219MaRDI QIDQ4039311

Hong-Kun Xu

Publication date: 8 August 1993

Full work available at URL: https://doi.org/10.2307/2159538

zbMATH Keywords

Hausdorff metricuniformly convex Banach spacemeasurable spacerandom fixed pointmultivalued nonexpansive operatornonempty compact subsets

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items

Some random fixed point theorems for nonlinear mappings, Random fixed points of uniformly Lipschitzian mappings, Random fixed point theorems for a certain class of mappings in banach spaces, Random fixed points of multivalued random operators with property (D), A remark on some random fixed points of multivalued SL-random operators satisfying the nonstrict Opial's property and corrigendum to “Random fixed points of multivalued random operators with property (D)”, Random fixed points of set-valued operators, Random fixed point theorems for nonlinear uniformly lipschitzian mappings, The characteristic of noncompact convexity and random fixed point theorem for set-valued operators, Measurability of fixed point sets of multivalued random operators, Random fixed point theorem for multivalued nonexpansive operators in Uniformly nonsquare Banach spaces

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