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

Journal of Applied Mathematics and Physics

Volume 5, Issue 2 (February 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

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

HTML XML

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

DOI: 10.4236/jamp.2017.52025 1,208 Downloads 2,226 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.

Cited by

[1]	The optimal control problems for generalized elliptic quasivariational inequalities
	Symmetry, 2022

[2]	Fixed Point Approximation for Suzuki Generalized Nonexpansive Mapping Using B (δ, μ) Condition
	Applied Mathematics, 2022

[3]	A product topology and strong convergence scheme for finding common fixed points of a family of nonexpansive semigroup
	2022

[4]	Algorithms for finding a common element of the set of common fixed points for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
	2020

[5]	The extragradient method for quasi-monotone variational inequalities
	2020

[6]	On the weak convergence for solving semistrictly quasi-monotone variational inequality problems
	Journal of Inequalities and Applications, 2019

[7]	EXISTENCE THEOREMS FOR THE GENERALIZED RELAXED PSEUDOMONOTONE VARIATIONAL INEQUALITIES
	Nonlinear Functional Analysis and Applications, 2019

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies