Abstract
In this paper, we introduce a new type of generalized arcwise connectedness, namely (p,r)-ρ-cone arcwise connectedness, for set-valued optimization problems. We establish the sufficient Karush-Kuhn-Tucker (KKT) optimality conditions under contingent epiderivative and (p,r)-ρ-cone arcwise connectedness assumptions. Further, we study Mond-Weir (MWD), Wolfe (WD), and mixed (MD) types duality models and prove the corresponding weak, strong, and converse duality theorems between the primal (P) and the corresponding dual problems under (p,r)-ρ-cone arcwise connectedness assumption. We also construct an example to ensure that (p,r)-ρ-cone arcwise connectedness is more general than cone arcwise connectedness.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
