The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 15 Issue 2
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- Pages.203-207
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- 2008
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS
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