Title of article
Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems
Author/Authors
Zeng ، Jing - Chongqing Technology and Business University , Peng ، Zai-Yun - Chongqing Jiaotong University , Sun ، Xiang-Kai - Chongqing Technology and Business University , Long ، Xian-Jun - Chongqing Technology and Business University
Pages
10
From page
4104
To page
4113
Abstract
In this paper, we establish an existence result for the (GSVQEP) without assuming that the dual of the ordering cone has a weak star compact base and give an example to show our existence theorem is different from the main result of Long et al. [X. J. Long, N. J. Huang, K. L. Teo, Math. Comput. Modelling, 47 (2008), 445451]. Furthermore, we introduce a concept of Hadamardtype wellposedness for the (GSVQEP) and establish sufficient conditions of Hadamard-type well-posedness for the (GSVQEP).
Keywords
Existence theorem , Hadamard well , posedness , fixed , point theorem , lower semicontinuity , naturally quasi , convexity.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2476049
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