A strong convergence for the general equilibrium system

Theory of Approximation and Applications

مقاله 12، دوره 15، شماره 2، اسفند 2021، صفحه 138-153   

نوع مقاله: Research Articles

نویسندگان

Hamid reza Sahebi^{* 1}؛ Stojan Radenovic²

¹Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.

²Faculty of Mechanical Engineering, University of Belgrade, Serbia

چکیده

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 non-commutative non-expansive 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.

کلیدواژه‌ها

General equilibrium problems؛ strongly positive linear bounded operator؛ 􀀀inverse strongly monotone mapping؛ xed point؛ Hilbert space