A strong convergence for the general equilibrium system

Subject Areas : Fixed Point Theory and its Applications

Hamid Sahebi ¹ , Stojan Radenovic ²

1 - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
2 - Faculty of Mechanical Engineering, University of Belgrade, Serbia

Received: 2022-03-18 Accepted : 2022-03-19 Published : 2021-12-01

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

Abstract :

We suggest a new viscosity iterative scheme for finding a common element of theset of solutions of the general equilibrium problem system (GEPS) and the set ofall common fixed points of two non-commutative non-expansive self mappings in theframework of a real Hilbert space. The results in the paper generalize and improvesome well-known results in Jankaew et al.[2] and many others. Moreover, we presenta numerical example (by using Maple software) to grantee the main result of thispaper.