Random Coincidence Point Theorem in Fréchet Spaces with Applications

DOI10.1081/SAP-120028028zbMath1036.60058OpenAlexW2007177835MaRDI QIDQ4450720

Abdul Rahim Khan, Nawab Hussain

Publication date: 15 February 2004

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

Full work available at URL: https://doi.org/10.1081/sap-120028028

zbMATH Keywords

fixed pointbest approximationnonexpansive multivalued mapsrandom coincidence point theorem

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Random operators and equations (aspects of stochastic analysis) (60H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (4)

Common fixed points and best approximations in locally convex spaces ⋮ Coupled coincidence points for mixed monotone random operators in partially ordered metric spaces ⋮ Random iterative algorithms and almost sure stability in Banach spaces ⋮ Random fixed points for ψ-contractions with application to random differential equations

Cites Work

• Best approximations in locally convex spaces
• Approximation results and fixed points
• Random fixed points of 1-set contractive random maps in Fréchet spaces
• Random approximations and random fixed point theorems
• Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces
• A random coincidence point theorem
• Random fixed points and random approximations in nonconvex domains
• Analysis of boosting algorithms using the smooth margin function
• RANDOM FIXED POINT THEOREMS FOR *-NONEXPANSIVE OPERATORS IN FRECHET SPACES
• Random fixed point theorems and approximation
• Fixed point theorems in probabilistic analysis
• Some results on coincidence points
• Random fixed points of set-valued operators
• Random fixed points for *-nonexpansive random operators

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