Random fixed point theorems for 1-set-contractive multivalued random maps

DOI10.1081/SAP-120000225zbMath1004.47039OpenAlexW1971871215MaRDI QIDQ2758173

Naseer Shahzad

Publication date: 6 December 2001

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

Full work available at URL: https://doi.org/10.1081/sap-120000225

zbMATH Keywords

random fixed point theorems\(1\)-set-contractive multivalued random maps

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) Random nonlinear operators (47H40)

Related Items (1)

Random fixed point theorems for lower semicontinuous condensing random operators

Cites Work

• Random fixed point theorems for various classes of 1-set-contractive maps in Banach spaces
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Random fixed points for several classes of 1-ball-contractive and 1-set-contractive random maps
• Fixed-point theorems for multivalued noncompact inward maps
• Applications of the proximity map to random fixed point theorems in Hilbert spaces
• Random fixed point theorems and approximation
• Some random approximations and random fixed point theorems for 1-set-contractive random operators
• Random fixed points of set-valued operators
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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