International Journal of Mathematics Trends and Technology
Volume 68 | Issue 12 | Year 2022 | Article Id. IJMTT-V68I12P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I12P513
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 01 Nov 2022 | 07 Dec 2022 | 18 Dec 2022 | 31 Dec 2022 |
In this paper, a vector-valued nonlinear constrained game is studied. It is shown that the solution of this game can be obtained by finding the properly efficient solutions to a symmetric dual pair of multiobjective nonlinear programming problems in which the multiplier vector corresponding to the objective is a vector-valued function of two variables. An inf-invex alternative theorem of Gordan type is used as a tool to prove the equivalence between the constrained vector-valued game and the symmetric dual pair.
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