| On vector variational-like inequalities and vector optimization problems with (G,α)-invexity |
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| 摘 要： | The aim of this paper is to study the relationship among Minty vector variationallike inequality problem, Stampacchia vector variational-like inequality problem and vector optimization problem involving(G, α)-invex functions. Furthermore, we establish equivalence among the solutions of weak formulations of Minty vector variational-like inequality problem,Stampacchia vector variational-like inequality problem and weak efficient solution of vector optimization problem under the assumption of(G, α)-invex functions. Examples are provided to elucidate our results.
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On vector variational-like inequalities and vector optimization problems with (G,α)-invexity |
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| Authors: | JAYSWAL Anurag CHOUDHURY Sarita |
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| Institution: | 1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India;2. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India;Department of Mathematics, Science College (Autonomous), Hinjilicut, Ganjam-761102, Odisha, India |
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| Abstract: | The aim of this paper is to study the relationship among Minty vector variational-like inequality problem, Stampacchia vector variational-like inequality problem and vector op-timization problem involving (G,α)-invex functions. Furthermore, we establish equivalence among the solutions of weak formulations of Minty vector variational-like inequality problem, Stampacchia vector variational-like inequality problem and weak efficient solution of vector op-timization problem under the assumption of (G,α)-invex functions. Examples are provided to elucidate our results. |
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| Keywords: | Minty vector variational-like inequality problem Stampacchia vector variational-like inequality problem vector optimization problem (G α)-invexity vector critical point |
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