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

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초록

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

Abstract

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

참고문헌 (3)

  1. S.K. Mishra, "Vector variational-like inequalities and non-smooth vector optimization problems", Nonlinear Analysis, 64, pp.1939~1945 (2006)
  2. G. Ruiz-Garzon, "Relationships between vector variational-like inequality and optimization problems", Eur. J. Oper. Res, 157, pp.113~119 (2004)
  3. X.Q. Yang, "Vector variational inequality and vector pseudolinear optimization", J. Optim. Theory Appl, 95, pp.729~734 (1997)

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