Abstract
In this work, we demonstrate the connection between the solutions of approximate vector variational inequalities and approximate efficient solutions of corresponding nonsmooth vector optimization problems via generalized approximate invex functions. The underlying variational inequalities are stated under the Clarke’s generalized Jacobian.
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Acknowledgments
The authors are most grateful to Dr. Lhoussain Elfadil for continued help throughout the preparation of this paper.
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Jennane, M., Kalmoun, E.M. (2021). Approximate Efficient Solutions of Nonsmooth Vector Optimization Problems via Approximate Vector Variational Inequalities. In: Hammouch, Z., Dutta, H., Melliani, S., Ruzhansky, M. (eds) Nonlinear Analysis: Problems, Applications and Computational Methods. SM2A 2019. Lecture Notes in Networks and Systems, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-030-62299-2_7
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