APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS AND SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES, By Hossein Piri

Research

Title	APPROXIMATING FIXED POINTS OF NONEXPANSIVE MAPPINGS AND SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES
Type	Article
Keywords	Fixed point, δ- strongly monotone, λ- strictly pseudocontractive.
Researchers	Hossein Piri

Abstract

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 BrowderPetryshyn type