A New Hybrid Projection Algorithm for System of Equilibrium Problems and Variational Inequality Problems and Two Finite Families of Quasi- -Nonexpansive Mappings

Pongrus Phuangphoo and Poom Kumam

Abstract and Applied Analysis, 2013, vol. 2013, 1-13

Abstract:

We introduce a modified Mann’s iterative procedure by using the hybrid projection method for solving the common solution of the system of equilibrium problems for a finite family of bifunctions satisfying certain condition, the common solution of fixed point problems for two finite families of quasi- -nonexpansive mappings, and the common solution of variational inequality problems for a finite family of continuous monotone mappings in a uniformly smooth and strictly convex real Banach space. Then, we prove a strong convergence theorem of the iterative procedure generated by some mild conditions. Our result presented in this paper improves and generalizes some well-known results in the literature.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:107296

DOI: 10.1155/2013/107296

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