Original scientific paper

Well-posedness for generalized mixed vector variational-like inequality problems in Banach space

Anurag Jayswal ; Department of Applied Mathematics, Indian Institute of Technology (ISM), Jharkhand, India
Shalini Jha ; Department of Applied Mathematics, Indian Institute of Technology (ISM), Jharkhand, India

Abstract

In this article, we focus to study about well-posedness of a generalized mixed vector variational-like inequality and optimization problems with aforesaid inequality as constraint. We establish the metric characterization of well-posedness in terms of approximate solution set.Thereafter, we prove the sufficient conditions of generalized well-posedness by assuming the boundedness of approximate solution set. We also prove that the well-posedness of considered optimization problems is closely related to that of generalized mixed vector variational-like inequality problems. Moreover, we present some examples to investigate the results established in this paper.

Keywords

Generalized mixed vector variational-like inequality problems; well-posedness; relaxed $\eta$-$\alpha$-$P$-monotonicity

Hrčak ID:

185989

URI

https://hrcak.srce.hr/185989

Publication date:

4.12.2017.

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