Version 1
: Received: 6 March 2020 / Approved: 7 March 2020 / Online: 7 March 2020 (08:52:27 CET)
How to cite:
Jennane, M.; El Fadil, L.; Kalmoun, E. M. Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity. Preprints2020, 2020030118. https://doi.org/10.20944/preprints202003.0118.v1
Jennane, M.; El Fadil, L.; Kalmoun, E. M. Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity. Preprints 2020, 2020030118. https://doi.org/10.20944/preprints202003.0118.v1
Jennane, M.; El Fadil, L.; Kalmoun, E. M. Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity. Preprints2020, 2020030118. https://doi.org/10.20944/preprints202003.0118.v1
APA Style
Jennane, M., El Fadil, L., & Kalmoun, E. M. (2020). Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity. Preprints. https://doi.org/10.20944/preprints202003.0118.v1
Chicago/Turabian Style
Jennane, M., Lhoussain El Fadil and El Mostafa Kalmoun. 2020 "Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity" Preprints. https://doi.org/10.20944/preprints202003.0118.v1
Abstract
Interval-valued functions have been widely used to accommodate data inexactness in optimization and decision theory. In this paper, we study interval-valued vector optimization problems, and derive their relationships to interval variational inequality problems, of both Stampacchia and Minty types. Using the concept of interval approximate convexity, we establish necessary and sufficient optimality conditions for local strong quasi and approximate $LU$-efficient solutions to nonsmooth optimization problems with interval-valued multiobjective functions.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
