Approximating fixed points of nonexpansive mappings and solving systems of variational inequalities

Document Type : Research Paper

Author

Department of Mathematics, University of Bonab, Bonab 5551761167, Iran

Abstract

‎A new approximation method for the set of common fixed points of‎ ‎nonexpansive mappings and the set of solutions of systems of‎ ‎variational inequalities is introduced and studied‎. ‎Moreover‎, ‎we‎ ‎apply our main result to obtain strong convergence theorem to a‎ ‎common fixed point of a nonexpannsive mapping and solutions of ‎a ‎system of variational inequalities of an inverse strongly monotone‎ ‎mapping and strictly pseudo-contractive mapping of‎ ‎Browder-Petryshyn type‎.

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