A strong convergence for the general equilibrium system
محورهای موضوعی : Fixed Point Theory and its Applications
Hamid Sahebi
1
(Department of Mathematics,
Ashtian Branch, Islamic Azad University, Ashtian, Iran.)
Stojan Radenovic
2
(Faculty of Mechanical Engineering, University of Belgrade, Serbia)
کلید واژه: Hilbert space, strongly positive linear bounded operator, xed point, General equilibrium problems, inverse strongly monotone mapping,
چکیده مقاله :
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.
