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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Generalized nonlinear random equations with random fuzzy and relaxed cocoercive mappings in Banach spaces
Type
JournalPaper
Keywords
relaxed cocoercive mappings in Banach space
Year
2010
Journal Advances in Nonlinear Variational Inequalities
DOI
Researchers Mohsen Alimohammady ، Javad Balooei ، Yeol Je Cho ، Mehdi Roohi

Abstract

In this paper, we shall introduce and study a new class of generalized nonlinear random A-maximal m-relaxed η-accretive (so called (A, η)-accretive [26]) equations with random fuzzy and random relaxed cocoercive mappings in tf-uniformly smooth Banach spaces. By using the resolvent mapping technique for A-maximal m-relaxed η-accretive mappings due to Lan et al. and Chang's lemma [5], we construct a new iterative algorithm with mixed errors for finding the approximate solutions of this class of nonlinear random equations. We also prove the existence of random solutions and the convergence of random iterative sequences generated by the algorithm in q-uniformly smooth Banach spaces. Our results improve and generalize many known corresponding results of recent works.