On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping

Adeolu Taiwo; Lateef O. Jolaoso; O. T. Mewomo; A. Gibali

On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping

Adeolu Taiwo^*, Lateef O. Jolaoso, O. T. Mewomo, A. Gibali

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

In this paper, we propose a new generalized mixed equilibrium problem which includes many existing monotone equilibrium problems and their derivatives. Using the KKM technique, we establish the existence of solutions of the proposed problem under suitable conditions. Furthermore, we introduce an iterative algorithm for solving the problem and prove its strong convergence in Banach spaces. Several numerical examples illustrate the efficiency of the algorithm.

Original language	English
Pages (from-to)	1381-1401
Number of pages	21
Journal	Journal of Nonlinear and Convex Analysis
Volume	21
Issue number	6
Publication status	Published - 2020
Externally published	Yes

Keywords

Existence result
KKM technique
New generalized mixed equilibrium problem
Reflexive Banach space

Cite this

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title = "On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping",

abstract = "In this paper, we propose a new generalized mixed equilibrium problem which includes many existing monotone equilibrium problems and their derivatives. Using the KKM technique, we establish the existence of solutions of the proposed problem under suitable conditions. Furthermore, we introduce an iterative algorithm for solving the problem and prove its strong convergence in Banach spaces. Several numerical examples illustrate the efficiency of the algorithm.",

keywords = "Existence result, KKM technique, New generalized mixed equilibrium problem, Reflexive Banach space",

author = "Adeolu Taiwo and Jolaoso, {Lateef O.} and Mewomo, {O. T.} and A. Gibali",

year = "2020",

language = "English",

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T1 - On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping

AU - Taiwo, Adeolu

AU - Jolaoso, Lateef O.

AU - Mewomo, O. T.

AU - Gibali, A.

PY - 2020

Y1 - 2020

N2 - In this paper, we propose a new generalized mixed equilibrium problem which includes many existing monotone equilibrium problems and their derivatives. Using the KKM technique, we establish the existence of solutions of the proposed problem under suitable conditions. Furthermore, we introduce an iterative algorithm for solving the problem and prove its strong convergence in Banach spaces. Several numerical examples illustrate the efficiency of the algorithm.

AB - In this paper, we propose a new generalized mixed equilibrium problem which includes many existing monotone equilibrium problems and their derivatives. Using the KKM technique, we establish the existence of solutions of the proposed problem under suitable conditions. Furthermore, we introduce an iterative algorithm for solving the problem and prove its strong convergence in Banach spaces. Several numerical examples illustrate the efficiency of the algorithm.

KW - Existence result

KW - KKM technique

KW - New generalized mixed equilibrium problem

KW - Reflexive Banach space

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M3 - Article

AN - SCOPUS:85090467961

SN - 1345-4773

VL - 21

SP - 1381

EP - 1401

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 6

ER -

On generalized mixed equilibrium problem with α - β - η bifunction and μ - T monotone mapping

Abstract

Keywords

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