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http://dx.doi.org/10.4134/CKMS.2013.28.2.243

GENERAL NONLINEAR RANDOM SET-VALUED VARIATIONAL INCLUSION PROBLEMS WITH RANDOM FUZZY MAPPINGS IN BANACH SPACES  

Balooee, Javad (Department of Mathematics Sari Branch Islamic Azad University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.2, 2013 , pp. 243-267 More about this Journal
Abstract
This paper is dedicated to study a new class of general nonlinear random A-maximal $m$-relaxed ${\eta}$-accretive (so called (A, ${\eta}$)-accretive [49]) equations with random relaxed cocoercive mappings and random fuzzy mappings in $q$-uniformly smooth Banach spaces. By utilizing the resolvent operator technique for A-maximal $m$-relaxed ${\eta}$-accretive mappings due to Lan et al. and Chang's lemma [13], some new iterative algorithms with mixed errors for finding the approximate solutions of the aforesaid class of nonlinear random equations are constructed. The convergence analysis of the proposed iterative algorithms under some suitable conditions are also studied.
Keywords
variational inclusions; A-maximal m-relaxed ${\eta}$-accretive mapping; random iterative algorithm; random relaxed cocoercive mapping; resolvent operator technique; random fuzzy mapping; q-uniformly smooth Banach space;
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