A simultaneous scheme for solving systems of inclusion and equilibrium problems in a real banach space

Lateef Olakunle Jolaoso; Ferdinard Udochukwu Ogbuisi; Olawale Kazeem Oyewole; Oluwatosin Temitope Mewomo; Prasit Cholamjiak

A simultaneous scheme for solving systems of inclusion and equilibrium problems in a real banach space

Lateef Olakunle Jolaoso, Ferdinard Udochukwu Ogbuisi, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo^*, Prasit Cholamjiak

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper, we propose an iterative method for approximating a common zero of finite family of m-accretive operators and a common solution of finite family of equilibrium problems simultaneously in a real reflexive, strict convex and smooth Banach space. We prove a strong convergence theorem and also give some applications of our result to approximating solutions of other nonlinear problems in real Banach spaces. As a special case, we obtain a result for approximating the common zero of a finite family of m-accretive operators which is also a common solution of a finite family of equilibrium problems in a real reflexive, strictly convex and smooth Banach space.

Original language	English
Pages (from-to)	665-684
Number of pages	20
Journal	Thai Journal of Mathematics
Volume	19
Issue number	2
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Equilibrium problem
Finite family
Fixed point problem
Generalized duality mapping
Inclusion problem
Simultaneous scheme

Cite this

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title = "A simultaneous scheme for solving systems of inclusion and equilibrium problems in a real banach space",

abstract = "In this paper, we propose an iterative method for approximating a common zero of finite family of m-accretive operators and a common solution of finite family of equilibrium problems simultaneously in a real reflexive, strict convex and smooth Banach space. We prove a strong convergence theorem and also give some applications of our result to approximating solutions of other nonlinear problems in real Banach spaces. As a special case, we obtain a result for approximating the common zero of a finite family of m-accretive operators which is also a common solution of a finite family of equilibrium problems in a real reflexive, strictly convex and smooth Banach space.",

keywords = "Equilibrium problem, Finite family, Fixed point problem, Generalized duality mapping, Inclusion problem, Simultaneous scheme",

author = "Jolaoso, {Lateef Olakunle} and Ogbuisi, {Ferdinard Udochukwu} and Oyewole, {Olawale Kazeem} and Mewomo, {Oluwatosin Temitope} and Prasit Cholamjiak",

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AU - Jolaoso, Lateef Olakunle

AU - Ogbuisi, Ferdinard Udochukwu

AU - Oyewole, Olawale Kazeem

AU - Mewomo, Oluwatosin Temitope

AU - Cholamjiak, Prasit

PY - 2021/6

Y1 - 2021/6

N2 - In this paper, we propose an iterative method for approximating a common zero of finite family of m-accretive operators and a common solution of finite family of equilibrium problems simultaneously in a real reflexive, strict convex and smooth Banach space. We prove a strong convergence theorem and also give some applications of our result to approximating solutions of other nonlinear problems in real Banach spaces. As a special case, we obtain a result for approximating the common zero of a finite family of m-accretive operators which is also a common solution of a finite family of equilibrium problems in a real reflexive, strictly convex and smooth Banach space.

AB - In this paper, we propose an iterative method for approximating a common zero of finite family of m-accretive operators and a common solution of finite family of equilibrium problems simultaneously in a real reflexive, strict convex and smooth Banach space. We prove a strong convergence theorem and also give some applications of our result to approximating solutions of other nonlinear problems in real Banach spaces. As a special case, we obtain a result for approximating the common zero of a finite family of m-accretive operators which is also a common solution of a finite family of equilibrium problems in a real reflexive, strictly convex and smooth Banach space.

KW - Equilibrium problem

KW - Finite family

KW - Fixed point problem

KW - Generalized duality mapping

KW - Inclusion problem

KW - Simultaneous scheme

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JO - Thai Journal of Mathematics

JF - Thai Journal of Mathematics

IS - 2

ER -

A simultaneous scheme for solving systems of inclusion and equilibrium problems in a real banach space

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Keywords

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