A new class of general nonlinear random set-valued variational inclusion problems involving A-maximal m-relaxed η-accretive mappings and random fuzzy mappings in Banach spaces

Abstract

At the present article, we consider a new class of general nonlinear random Amaximal m-relaxed h-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces. By using the resolvent mapping technique for A-maximal m-relaxed h-accretive mappings due to Lan et al. and Chang’s lemma, we construct a new iterative algorithm with mixed errors for finding the approximate solutions of this class of nonlinear random equations. We also verify that the approximate solutions obtained by the our proposed algorithm converge to the exact solution of the general nonlinear random A-maximal m-relaxed h-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q-uniformly smooth Banach spaces. Mathematical Subject Classification 2010: Primary, 47B80; Secondary, 47H40, 60H25.

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Cite this paper

@inproceedings{Petrot2012ANC, title={A new class of general nonlinear random set-valued variational inclusion problems involving A-maximal m-relaxed η-accretive mappings and random fuzzy mappings in Banach spaces}, author={Narin Petrot and Javad Balooee}, year={2012} }