GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES

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REZAEI M.; GAZOR H.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2010 | Volume:5 | Issue:1 (S.N. 9) Page(s): 75-86

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Information Journal Paper

Title

GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES

Author(s)

REZAEI M. | GAZOR H. | Issue Writer Certificate

Keywords

STAMPACCHIA AND MINTY TYPE VECTOR VARIATIONAL INEQUALITIES

PSEUDOMONOTONICITY

VECTOR OPTIMIZATION PROBLEM

Abstract

In this paper, we consider diﬀerent types of generalized vector variational-like inequalities and study the relationships between their olutions . We study the general forms of STAMPACCHIA AND MINTY TYPE VECTOR VARIATIONAL INEQUALITIES for bifunctions and establish the existence of their solutions in the setting of topological vector spaces. We extend these vector variational inequalities for the Clarke’s sub differential of non-diﬀerentiable locally Lipschitz functions and prove the existence of their solutions. As applications, we establish some existence results for a solution of the VECTOR OPTIMIZATION PROBLEM by using STAMPACCHIA AND MINTY TYPE VECTOR VARIATIONAL INEQUALITIES.

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APA: Copy

REZAEI, M., & GAZOR, H.. (2010). GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES. JOURNAL OF MATHEMATICAL EXTENSION, 5(1 (S.N. 9)), 75-86. SID. https://sid.ir/paper/568410/en

Vancouver: Copy

REZAEI M., GAZOR H.. GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2010;5(1 (S.N. 9)):75-86. Available from: https://sid.ir/paper/568410/en

IEEE: Copy

M. REZAEI, and H. GAZOR, “GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 1 (S.N. 9), pp. 75–86, 2010, [Online]. Available: https://sid.ir/paper/568410/en

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