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Mixed type symmetric duality for multiobjective variational problems with cone constraints |
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| Authors: | I. Ahmad Z. Husain S. Al‐Homidan |
| Affiliation: | 1. Department of Mathematics, Aligarh Muslim University, , Aligarh, 202 002 Uttar Pradesh, India;2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, , P.O. Box 728 Dhahran, 31261 Saudi Arabia;3. Department of General Studies, Yanbu University College, , P.O. Box 31387 Yanbu Industrial City, 51000 Saudi Arabia |
| Abstract: | In this study, a pair of multiobjective variational mixed symmetric dual programs involving cone constraints is presented and usual duality results are established using the notion of generalized  ‐convexity. Self‐duality is discussed under additional condition of skew symmetry, and a time‐independence (static) version of the problems is also incorporated. |
| Keywords: | mixed symmetric duality variational problem cone generalized ‐convexity |