Multiobjective programming under d-invexity |
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| Affiliation: | 1. School of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, China;1. Geodetic Institute, Leibniz Universität Hannover, Nienburger Str. 1, 30167 Hannover, Germany;2. Faculty 1: Architecture – Civil Engineering – Geomatics, Laboratory for Industrial Metrology, Frankfurt University of Applied Sciences, Nibelungenplatz 1, 60318 Frankfurt am Main, Germany;1. Department of Obstetrics, Wilhelmina Children’s Hospital Birth Center, University Medical Center Utrecht, Utrecht, the Netherlands;2. Department of Pathology, University Medical Centre Groningen, Groningen, the Netherlands;3. Department of Medical Biology, University Medical Centre Groningen, Groningen, the Netherlands;4. Department of Obstetrics and Gynaecology, University Medical Centre Groningen, Groningen, the Netherlands;5. Department of Obstetrics and Gynaecology, Martini Hospital, Groningen, the Netherlands;6. Department of Nephrology, University Medical Centre Groningen, Groningen, the Netherlands;7. Department of Epidemiology, University of Groningen, Groningen, the Netherlands;1. Department of Electrical Engineering, COMSATS Institute of Information Technology, Attock Campus, Attock, Punjab, Pakistan;2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematical Sciences, UAEU P O Box 15551, Al-Ain, United Arab Emirates |
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| Abstract: | In this paper, a generalization of convexity is considered in the case of nonlinear multiobjective programming problem where the functions involved are nondifferentiable. By considering the concept of Pareto optimal solution and substituting d-invexity for convexity, the Fritz John type and Karush–Kuhn–Tucker type necessary optimality conditions and duality in the sense of Mond–Weir and Wolfe for nondifferentiable multiobjective programming are given. |
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