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

- Journal title : Communications of the Korean Mathematical Society
- Volume 28, Issue 2, 2013, pp.243-267
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2013.28.2.243

Title & Authors

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

Balooee, Javad;

Balooee, Javad;

Abstract

This paper is dedicated to study a new class of general nonlinear random A-maximal -relaxed -accretive (so called (A, )-accretive [49]) equations with random relaxed cocoercive mappings and random fuzzy mappings in -uniformly smooth Banach spaces. By utilizing the resolvent operator technique for A-maximal -relaxed -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 -accretive mapping;random iterative algorithm;random relaxed cocoercive mapping;resolvent operator technique;random fuzzy mapping;q-uniformly smooth Banach space;

Language

English

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