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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
B.B. Upadhyay, N. Priyobarta, Y.S. Rohen 
Corresponding Authors:
B.B. UPADHYAY 
DOI #:
https://doi.org/10.2298/YJOR170119013U 
Title:
Sufficient optimality conditions and duality for nonsmooth multiobjective problems via higher order strong convexity,  
Journal:
Yugoslav Journal of Operations Research  
Year:
2017 
Volume:
27(2) 
Page:
227-242 
Keywords:
Nonsmooth Multiobjective Programming, Support Functions, Strict Minimizers, Optimality Conditions, Mixed Duality 
Abstract:
In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential. Suitable examples illustrating the non emptiness of the newly defined classes of functions and their relationships with classical notions of pseudoconvexity and quasiconvexity are provided. These generalizations are then employed to establish sufficient optimality conditions for a nonsmooth multiobjective optimization problem involving support functions of compact convex sets. Furthermore, we formulate a mixed type dual model for the primal problem and establish weak and strong duality theorems using the notion of strict efficiency of order m. The results presented in this paper extend and unify several known results from the literature to a more general class of functions as well as optimization problems. 
Entered by:
Venkata Dantham on 2020-08-04 
 
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