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

3 Citations (Scopus)

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
Pages (from-to)	319-340
Number of pages	22
Journal	Journal of Analysis
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/s41478-024-00835-z
Publication status	Published - Feb 2025
Externally published	Yes

Keywords

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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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 = "Fixed point Problem, Hilbert Spaces, Quasimonotone, Self-adaptive process, Tseng algorithm, Variational Inequality",

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

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

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AU - Aremu, Kazeem Olalekan

AU - Mona, Muhammed Ibrahim

AU - Ibrahim, Muhammad

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

PY - 2025/2

Y1 - 2025/2

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 - Fixed point Problem

KW - Hilbert Spaces

KW - Quasimonotone

KW - Self-adaptive process

KW - Tseng algorithm

KW - Variational Inequality

UR - https://www.scopus.com/pages/publications/86000386934

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DO - 10.1007/s41478-024-00835-z

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SP - 319

EP - 340

JO - Journal of Analysis

JF - Journal of Analysis

IS - 1

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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