@article{f3cc8d6454304367bb7b130ede6d5809,
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",
note = "Funding Information: {"}The first author acknowledges with thanks the International Mathematical Union (IMU) Breakout Graduate Fellowship Award for his doctoral study. fThe second author acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. fThe third author is supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number 119903). Opinions expressed and conclusions arrived are those of the authors and are not necessarily to be attributed to the CoE-MaSS, IMU and NRF.. Publisher Copyright: {\textcopyright} 2020 Yokohama Publications. All rights reserved.",
year = "2020",
language = "English",
volume = "21",
pages = "1381--1401",
journal = "Journal of Nonlinear and Convex Analysis",
issn = "1345-4773",
publisher = "Yokohama Publishers",
number = "6",
}