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

被引：1

作者：

Aremu, Kazeem Olalekan ^{[1
,2
]}

Mona, Muhammed Ibrahim ^{[1
]}

Ibrahim, Muhammad ^{[1
,2
]}

机构：

[1] Usmanu Danfodiyo Univ Sokoto, Dept Math, Sokoto, Sokoto, Nigeria

[2] Sefako Makghato Hlth Sci Univ, Dept Math & Appl Math, Ga Rankwa, Pretoria, South Africa

来源：

JOURNAL OF ANALYSIS | 2025年 / 33卷 / 01期

关键词：

Variational Inequality; Fixed point Problem; Self-adaptive process; Tseng algorithm; Quasimonotone; Hilbert Spaces; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; APPROXIMATION METHODS; OPERATORS; THEOREM; WEAK;

D O I：

10.1007/s41478-024-00835-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：319 / 340

页数：22

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