具有半η-伪单调性的新广义混合向量似变分不等式

Int. J. Math. Oper. Res. Pub Date : 2018-07-06 DOI:10.1504/IJMOR.2018.10013171

P. Majee, C. Nahak

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摘要

本文引入了向量集值映射的半η-伪单调性的概念。利用这一概念，利用KKM技术和Nadler引理，建立了自反Banach空间中一类新的广义混合向量类变分不等式问题的存在性结果。我们的结果是Plubtieng和Thammathiwat(2014)给出的一些结果的扩展和改进。没有几个例子来证明我们的新发现是正确的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New generalised mixed vector variational-like inequalities with semi-η-pseudomonotonicity

In this paper, we introduce the concept of semi-η-pseudomonotonicity for vector set-valued mappings. Using this concept, and utilising KKM technique and Nadler's Lemma, we establish some existence results for the new generalised mixed vector variational-like inequality problem in reflexive Banach spaces. Our results are the extension and improvement of some of the results given by Plubtieng and Thammathiwat (2014). Few examples are given to justify our new findings.

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Int. J. Math. Oper. Res.

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