An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.2, February 2017

An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups ()

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Download as PDF (Size: 411KB) PP. 276-293

DOI: 10.4236/jamp.2017.52025 1,208 Downloads 2,220 Views Citations

Author(s)

Jong Kyu Kim¹, Salahud din², Won Hee Won Hee¹

Affiliation(s)

¹Department of Mathemarics Education, Kyungnam University Changwon, Gyeongnam, Korea.
²Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia.

ABSTRACT

In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.

KEYWORDS

Meir-Keeler Contraction Mappings, Left Regular, Generalized Mixed Equilibrium Problems, Variational Inequalities, α-Inverse Strongly Monotone Mappings, Nonexpansive Semigroups

Share and Cite:

Kim, J. , din, S. and Won Hee, W. (2017) An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups. Journal of Applied Mathematics and Physics, 5, 276-293. doi: 10.4236/jamp.2017.52025.

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