SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

D. O. Peter; A. A. Mebawondu; G. C. Ugwunnadi; P. Pillay; O. K. Narain

doi:10.22771/nfaa.2023.28.01.11

SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

D. O. Peter, A. A. Mebawondu^*, G. C. Ugwunnadi, P. Pillay, O. K. Narain

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper, we introduce and study an iterative technique for solving quasi-monotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

Original language	English
Pages (from-to)	205-235
Number of pages	31
Journal	Nonlinear Functional Analysis and Applications
Volume	28
Issue number	1
DOIs	https://doi.org/10.22771/nfaa.2023.28.01.11
Publication status	Published - 2023
Externally published	Yes

Keywords

Equilibrium problem
inertial term
iterative method
variational inequality problem

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10.22771/nfaa.2023.28.01.11

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title = "SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES",

abstract = "In this paper, we introduce and study an iterative technique for solving quasi-monotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.",

keywords = "Equilibrium problem, inertial term, iterative method, variational inequality problem",

author = "Peter, {D. O.} and Mebawondu, {A. A.} and Ugwunnadi, {G. C.} and P. Pillay and Narain, {O. K.}",

note = "Publisher Copyright: {\textcopyright} 2023 Kyungnam University Press",

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doi = "10.22771/nfaa.2023.28.01.11",

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T1 - SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

AU - Peter, D. O.

AU - Mebawondu, A. A.

AU - Ugwunnadi, G. C.

AU - Pillay, P.

AU - Narain, O. K.

PY - 2023

Y1 - 2023

N2 - In this paper, we introduce and study an iterative technique for solving quasi-monotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

AB - In this paper, we introduce and study an iterative technique for solving quasi-monotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

KW - Equilibrium problem

KW - inertial term

KW - iterative method

KW - variational inequality problem

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U2 - 10.22771/nfaa.2023.28.01.11

DO - 10.22771/nfaa.2023.28.01.11

M3 - Article

AN - SCOPUS:85149691980

SN - 1229-1595

VL - 28

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JF - Nonlinear Functional Analysis and Applications

IS - 1

ER -

SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

Abstract

Keywords

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