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

Journal of inequalities and applications

Narin Petrot¹ 

关键词: variational inclusions;    A-maximal m-relaxed η-accretive mapping;    random relaxed cocoercive mapping;    resolvent operator technique;    random iterative algorithm;    random fuzzy mapping;    q-uniformly smooth Banach space;   

DOI  :  10.1186/1029-242X-2012-98

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

At the present article, we consider a new class of general nonlinear random A- maximal m-relaxed η-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 η-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 η-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.

【 授权许可】

CC BY