General composite iterative methods for general systems of variational inequalities


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	General composite iterative methods for general systems of variational inequalities


	Fixed Point Theory, Volume 19, No. 1, 2018, 287-300, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.23 Authors: A. Latif, A.S.M. Alofi, A.E. Al-Mazrooei and J.C. Yao Abstract: In this paper, we introduce a general composite implicit scheme and a general composite explicit scheme for finding a solution of general system of variational inequalities in a real Hilbert space. We establish the strong convergence of these two general composite schemes to a solution of the general system of variational inequalities which is the unique solution of some variational inequality. Applications to variational inequalities are given. Key Words and Phrases: General composite iterative method, general system of variational inequalities, inverse-strongly monotone mapping, strictly pseudocontractive mapping, nonexpansive mapping, fixed point. 2010 Mathematics Subject Classification: 49J30, 47H09, 47J20, 49M05. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents