A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

Lateef Olakunle Jolaoso

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A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

机译：A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

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摘要

In this paper, we introduce a self-adaptive projection method for finding a common element in the solution set of variational inequalities (VIs) and fixed point set for relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth real Banach spaces. We prove a strong convergence result for the sequence generated by our algorithm without imposing a Lipschitz condition on the cost operator of the VIs. We also provide some numerical examples to illustrate the performance of the proposed algorithm by comparing with related methods in the literature. This result extends and improves some recent results in the literature in this direction.

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来源
《Demonstratio Mathematica》 |2021年第1期|527-547|共21页
作者
Lateef Olakunle Jolaoso;
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作者单位

Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University;

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正文语种英语
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variational inequality; monotone operator; self-adaptive; projection method; Banach spaces;

A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces

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