Existence theorems for relaxed η-α pseudomonotone and strictly η-quasimonotone generalized variational-like inequalities

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作者
Areerat Arunchai
Somyot Plubtieng
Ching-Feng Wen
机构
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] Kaohsiung Medical University,Center for Fundamental Science
关键词
variational-like inequality; generalized variational-like inequality; relaxed ; -; pseudomonotone operator; strictly ; -quasimonotone operator; solution existence;
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摘要
In this paper, we prove the existence of solutions for a variational-like inequality and a generalized variational-like inequality in the relaxed η-α pseudomonotone and strictly η-quasimonotone cases in Banach spaces by using the KKM technique. The results presented in this paper improve and extend some corresponding results of several authors.
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