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 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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The authors are greatly indebted to the reviewers for their valuable comments and suggestions leading to the revised version of the original draft for this paper.
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Jayswal, A., Choudhury, S. On vector variational-like inequalities and vector optimization problems with (G, α)-invexity. Appl. Math. J. Chin. Univ. 32, 323–338 (2017). https://doi.org/10.1007/s11766-017-3339-1
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DOI: https://doi.org/10.1007/s11766-017-3339-1