A modified self-adaptive inertial tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real hilbert space

Kazeem Olalekan Aremu; Muhammed Ibrahim Mona; Muhammad Ibrahim

doi:10.1007/s41478-024-00835-z

A modified self-adaptive inertial tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real hilbert space

Kazeem Olalekan Aremu^*, Muhammed Ibrahim Mona, Muhammad Ibrahim

^*Corresponding author for this work

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

Abstract

In this research, a modified self-adaptive inertial Tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. Boundedness and strong convergence of the sequence generated by the algorithm proposed were established under some convenient conditions. The outcome of the algorithm shows improvement on various algorithms earlier proposed. Finally, a numerical example was given to show the reliability and efficiency of the algorithm.

Original language	English
Journal	Journal of Analysis
DOIs	https://doi.org/10.1007/s41478-024-00835-z
Publication status	Accepted/In press - 2024
Externally published	Yes

Keywords

47H06
47H09
47J05
47J25
Fixed point Problem
Hilbert Spaces
Quasimonotone
Self-adaptive process
Tseng algorithm
Variational Inequality

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10.1007/s41478-024-00835-z

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title = "A modified self-adaptive inertial tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real hilbert space",

abstract = "In this research, a modified self-adaptive inertial Tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. Boundedness and strong convergence of the sequence generated by the algorithm proposed were established under some convenient conditions. The outcome of the algorithm shows improvement on various algorithms earlier proposed. Finally, a numerical example was given to show the reliability and efficiency of the algorithm.",

keywords = "47H06, 47H09, 47J05, 47J25, Fixed point Problem, Hilbert Spaces, Quasimonotone, Self-adaptive process, Tseng algorithm, Variational Inequality",

author = "Aremu, {Kazeem Olalekan} and Mona, {Muhammed Ibrahim} and Muhammad Ibrahim",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

doi = "10.1007/s41478-024-00835-z",

language = "English",

journal = "Journal of Analysis",

issn = "0971-3611",

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T1 - A modified self-adaptive inertial tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real hilbert space

AU - Aremu, Kazeem Olalekan

AU - Mona, Muhammed Ibrahim

AU - Ibrahim, Muhammad

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024

Y1 - 2024

N2 - In this research, a modified self-adaptive inertial Tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. Boundedness and strong convergence of the sequence generated by the algorithm proposed were established under some convenient conditions. The outcome of the algorithm shows improvement on various algorithms earlier proposed. Finally, a numerical example was given to show the reliability and efficiency of the algorithm.

AB - In this research, a modified self-adaptive inertial Tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. Boundedness and strong convergence of the sequence generated by the algorithm proposed were established under some convenient conditions. The outcome of the algorithm shows improvement on various algorithms earlier proposed. Finally, a numerical example was given to show the reliability and efficiency of the algorithm.

KW - 47H06

KW - 47H09

KW - 47J05

KW - 47J25

KW - Fixed point Problem

KW - Hilbert Spaces

KW - Quasimonotone

KW - Self-adaptive process

KW - Tseng algorithm

KW - Variational Inequality

UR - http://www.scopus.com/inward/record.url?scp=85205863318&partnerID=8YFLogxK

U2 - 10.1007/s41478-024-00835-z

DO - 10.1007/s41478-024-00835-z

M3 - Article

AN - SCOPUS:85205863318

SN - 0971-3611

JO - Journal of Analysis

JF - Journal of Analysis

ER -

A modified self-adaptive inertial tseng algorithm for solving a quasimonotone variational inequality and fixed point problems in real hilbert space

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Keywords

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