Journal
FIXED POINT THEORY
Volume 19, Issue 2, Pages 801-822Publisher
HOUSE BOOK SCIENCE-CASA CARTII STIINTA
DOI: 10.24193/fpt-ro.2018.2.59
Keywords
Accretive operator; altering points; Mann iteration method; Lipschitz mapping; resolvent operator; variational inclusion problem
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Funding
- Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Taiwan
- [MOST 105-2115-M-037-001]
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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.
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