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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.2, pp.203-207
Lee, Byung-Soo

Abstract

In [1], Mishra and Wang established relationships between vector variational-like inequality problems and non-smooth vector optimization problems under non-smooth invexity in finite-dimensional spaces. In this paper, we generalize recent results of Mishra and Wang to infinite-dimensional case.

keywords
vector variational-like inequality, non-smooth vector optimization problem, strictly invex function, invex function, pseudo-invex function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics