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

Author(s):

Hossein Piri

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.
Keywords:

fixed point , $delta$ , strongly monotone , $lambda$ , strictly pseudo , contractive

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:40 Issue: 2, 2014
Pages:
481 to 504
https://www.magiran.com/p1284741