GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS IN BANACH SPACES

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ZHAO YALI; DU XIAOQING

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Journal Paper

Paper Information

Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:1 Page(s): 1-16

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Information Journal Paper

Title

GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS IN BANACH SPACES

Author(s)

ZHAO YALI | DU XIAOQING | Issue Writer Certificate

Keywords

GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS

BROUWER’S FIXED POINT THEOREM

FAN’S LEMMA

NADLER’S LEMMA

PSEUDOMONOTONE

SOLVABILITY

Abstract

The purpose of this paper is to study the SOLVABILITY for a class of GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS in reflexive Banach spaces. Firstly, utilizing BROUWER’S FIXED POINT THEOREM, we prove the SOLVABILITY for this class of GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS without monotonicity assumption. Secondly, we introduce the new concept of pseudomonotonicity for vector set-valued mapping and prove the SOLVABILITY for this class of GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS for PSEUDOMONOTONE vector set-valued mapping by using FAN’S LEMMA and Nadler’s theorem. Our results extend and improve the corresponding results in this direction.

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APA: Copy

ZHAO, YALI, & DU, XIAOQING. (2009). GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS IN BANACH SPACES. MATHEMATICAL SCIENCES, 3(1), 1-16. SID. https://sid.ir/paper/322484/en

Vancouver: Copy

ZHAO YALI, DU XIAOQING. GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS IN BANACH SPACES. MATHEMATICAL SCIENCES[Internet]. 2009;3(1):1-16. Available from: https://sid.ir/paper/322484/en

IEEE: Copy

YALI ZHAO, and XIAOQING DU, “GENERALIZED STRONG VECTOR EQUILIBRIUM-LIKE PROBLEMS IN BANACH SPACES,” MATHEMATICAL SCIENCES, vol. 3, no. 1, pp. 1–16, 2009, [Online]. Available: https://sid.ir/paper/322484/en

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