Title of article :
A Strong Convergence for The General Equilibrium System
Author/Authors :
Sahebi, Hamid Reza Department of Mathematics - Islamic Azad University Ashtian Branch, Ashtian, Iran , Radenovic, Stojan Faculty of Mechanical Engineering - University of Belgrade, Serbia
Abstract :
We suggest a new viscosity iterative scheme for finding a common element of the set of solutions
of the general equilibrium problem system (GEPS) and the set of all common fixed points
of two noncommutative nonexpansive self mappings in the framework of a real Hilbert space.
The results in the paper generalize and improve some well-known results in Jankaew et al.[2]
and many others. Moreover, we present a numerical example (by using Maple software) to
grantee the main result of this paper.
Keywords :
General equilibrium problems , strongly positive , linear bounded operator , α−inverse , strongly monotone mapping , fixed point , Hilbert space
Journal title :
Theory of Approximation and Applications