Iterative methods for system of variational inclusions involving accretive operators and applications


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	Iterative methods for system of variational inclusions involving accretive operators and applications


	Fixed Point Theory, Volume 19, No. 2, 2018, 801-822, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.59 Authors: Xiaopeng Zhao, D.R. Sahu and Ching-Feng Wen Abstract: The purpose of this paper is to study existence and approximation of solutions of system of variational inclusions involving multi-valued H-accretive and single-valued accretive operators over two different closed convex subsets of a Banach space. The convergence analysis of two proposed iteration processes for approximating solutions will be conducted within the conceptual framework of the ''altering point technique'' without uniform convexity of underlying spaces. This technique should make existing or new results in solving system of variational inequalities and variational inclusions. Key Words and Phrases: Accretive operator, altering points, Mann iteration method, Lipschitz mapping, resolvent operator, variational inclusion problem. 2010 Mathematics Subject Classification: 47H09, 47H10, 47J25. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents