Approximation solvability of nonlinear random \((A,\eta )\)-resolvent operator equations with random relaxed cocoercive operators

DOI10.1016/J.CAMWA.2008.09.036zbMath1165.60333OpenAlexW1999200183MaRDI QIDQ1029851

Heng-you Lan

Publication date: 13 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.036

zbMATH Keywords

existence and convergence\eta )\)-resolvent operator equation with random relaxed cocoercive operatornew generalized random iterative algorithmnon-monotone random set-valued operatornonlinear random \((Arandom resolvent operator technique

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Random operators and equations (aspects of stochastic analysis) (60H25) Random nonlinear operators (47H40)

Related Items (5)

A new class of general nonlinear random set-valued variational inclusion problems involving \(A\)-maximal \(m\)-relaxed \(\eta\)-accretive mappings and random fuzzy mappings in Banach spaces ⋮ A generalized nonlinear random equations with random fuzzy mappings in uniformly smooth Banach spaces ⋮ New approximation-solvability of general nonlinear operator inclusion couples involving \((A, \eta , m)\)-resolvent operators and relaxed cocoercive type operators ⋮ Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators ⋮ A new system of random generalized variational inclusions with random fuzzy mappings and random \((H(\cdot, \cdot), \phi)-\eta\)-accretive mappings in Banach spaces

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