Second-order multi-objective non–differentiable Schaible type model and its duality relation under (K xQ)–C–type–I functions. (3rd September 2021)

• Record Type: Journal Article
• Authors: Kumar, Rajnish; Alam, Khursheed; Dubey, Ramu
• Is Part Of: International journal of modelling & simulation. Volume 41:Number 5(2021)
• Page Start: 397
• Page End: 403
• Publication Date: 2021-09-03
• Subjects: Non-differentiable -- [KxQ)-C-second-order type-I -- multi-objective programming -- efficient solutions -- Schaible dual model -- support functions; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2021.1983966
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: In this article, we constructed second-order ( K × Q ) - C -type-I functions and also illustrated a non-trivial concrete numerical example for such existing types of functions. Furthermore, we have presented a second-order non-differentiable multi-objective Schaible type dual model with cone objectives as well as cone constraints. Finally, we established duality theorems under ( K × Q ) - C -type-I assumptions.