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General nonlinear random set-valued variational inclusion problems with random fuzzy mappings in Banach spaces

Javad Balooee
대한수학회 (The Korean Mathematical Society)|2013.04|대한수학회논문집 (Communications of the KMS)|제28권 제2호|pp. 243-267

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참고문헌

키워드

random iterative algorithmresolvent operator techniqueq-uniformly smooth Banach spacevariational inclusionsA-maximal m-relaxed η-accretive map- pingrandom relaxed cocoercive mappingrandom fuzzy mapping
주제분류수학

초록

This paper is dedicated to study a new class of general nonlin-ear random A-maximal m-relaxed η-accretive (so called (A, η)-accretive[49]) equations with random relaxed cocoercive mappings and randomfuzzy mappings in q-uniformly smooth Banach spaces. By utilizing theresolvent operator technique for A-maximal m-relaxed η-accretive map-pings due to Lan et al. and Chang’s lemma [13], some new iterativealgorithms with mixed errors for finding the approximate solutions of theaforesaid class of nonlinear random equations are constructed. The con-vergence analysis of the proposed iterative algorithms under some suitableconditions are also studied.

Abstract

This paper is dedicated to study a new class of general nonlin-ear random A-maximal m-relaxed η-accretive (so called (A, η)-accretive[49]) equations with random relaxed cocoercive mappings and randomfuzzy mappings in q-uniformly smooth Banach spaces. By utilizing theresolvent operator technique for A-maximal m-relaxed η-accretive map-pings due to Lan et al. and Chang’s lemma [13], some new iterativealgorithms with mixed errors for finding the approximate solutions of theaforesaid class of nonlinear random equations are constructed. The con-vergence analysis of the proposed iterative algorithms under some suitableconditions are also studied.

참고문헌 (67)

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