New proximal algorithms for a class of \((A, \eta)\)-accretive variational inclusion problems with non-accretive set-valued mappings

DOI10.1007/BF02832351zbMath1139.49013MaRDI QIDQ2471334

Heng-you Lan

Publication date: 22 February 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

convergenceiterative algorithmresolvent operator technique\((A,\eta)\)-accretive mappingrelaxed cocoercive mapping and non-accretive set-valued mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Fuzzy operator theory (47S40)

Related Items

Graph-convergent analysis of over-relaxed \((A, \eta, m)\)-proximal point iterative methods with errors for general nonlinear operator equations, Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with \((A, \eta)\)-accretive mappings, Sensitivity analysis for generalized nonlinear parametric \((A,\eta ,m)\)-maximal monotone operator inclusion systems with relaxed cocoercive type operators, Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach, Resolvent algorithms for system of generalized nonlinear variational inclusions and fixed point problems, System of set-valued mixed quasi-variational-like inclusions involving \(H-\eta \)-monotone operators in Banach spaces, The solvability of a new system of nonlinear variational-like inclusions

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