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Convergence of Tseng-type self-adaptive algorithms for variational inequalities and fixed point problems
Journal article   Open access  Peer reviewed

Convergence of Tseng-type self-adaptive algorithms for variational inequalities and fixed point problems

Yonghong Yao, Naseer Shahzad, Jen-Chih Yao, " and Nadia Shahzad
Carpathian Journal of Mathematics, Vol.37(3), pp.541-550
01/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present a Tseng-type self-adaptive algorithm for solving a variational inequality and a fixed point problem involving pseudomonotone and pseudocontractive operators in Hilbert spaces. A weak convergent result for such algorithm is proved under a weaker assumption than sequentially weakly continuous imposed on the pseudomonotone operator. Some corollaries are also included.
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https://doi.org/10.37193/CJM.2021.03.15View
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