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Second order symmetric duality in non-differentiable multiobjective programming with F-convexity
Affiliation:1. Departamento de Matemáticas, Universidad de Alicante, Alicante 03071, Spain;2. Department of Applied Mathematics, University of New South Wales, Sydney 2052, Australia;3. Departamento de Fundamentos del Análisis Económico, Universidad de Alicante, Alicante 03071, Spain;1. Computational Intelligence Research Group, Department of Computer and Information Sciences, Faculty of Engineering and Environment, University of Northumbria, Newcastle NE1 8ST, UK;2. Department of Information Technology, Jadavpur University, Kolkata, India;3. Institute for Intelligent Systems Research and Innovation, Deakin University, Waurn Ponds, VIC 3216, Australia;4. School of Instrument Science and Engineering, Southeast University, Nanjing 210018, PR China
Abstract:This paper is concerned with a pair of Mond–Weir type second order symmetric dual non-differentiable multiobjective programming problems. We establish the weak and strong duality theorems for the new pair of dual models under second order F-convexity assumptions. Several results including many recent works are obtained as special cases.
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