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On Nondifferentiable and Nonconvex Vector Optimization Problems |
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| Authors: | Ansari Q H Yao J> C> |
| Institution: | (1) Department of Mathematics, Aligarh Muslim University, Aligarh, India;(2) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, ROC;(3) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, ROC |
| Abstract: | In this paper, we prove the equivalence among the Minty vector variational-like inequality, Stampacchia vector variational-like inequality, and a nondifferentiable and nonconvex vector optimization problem. By using a fixed-point theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions. |
| Keywords: | variational-like inequalities vector optimization problems generalized solutions subinvex functions |
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