GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS
GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS
한국수학교육학회지시리즈B:순수및응용수학 / 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
(DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY)
Lee, Byung-Soo.
(2008). GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS. 한국수학교육학회지시리즈B:순수및응용수학, 15(2), 203-207.
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
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vector variational-like inequality,
non-smooth vector optimization problem,
strictly invex function,
invex function,
pseudo-invex function