Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity

Antczak T, Abdulaleem N (2019) E-optimality conditions and Wolfe E-duality for E-differentiable vector optimization problems with inequality and equality constraints. J Nonlinear Sci Appl 12:745–764

Ahmad I, Gulati TR (2005) Mixed type duality for multiobjective variational problems with generalized (F, ρ)-convexity. J Math Anal Appl 306(2):669–683

Ahmad I (2005) Multiobjective mixed symmetric duality with invexity. New Zealand J Math 34(1):1–9

Abdulaleem N (2021) V-E-invexity in E-differentiable multiobjective programming. Numer Algebra Control Optim. https://doi.org/10.3934/naco.2021014

Abdulaleem N (2019) E-duality results for E-differentiable vector optimization problems under (generalized) E-convexity. 6th Intl Confe Re Adv in Pure and Appl Math, Istanbul, 9-26

Abdulaleem N (2019) E-duality results for E-differentiable E-invex multiobjective programming problems. In Journal of Physics: Conference Series (Vol. 1294, No. 3, p. 032027). IOP Publishing

Bector CR, Chandra S (2001) On mixed duality in mathematical programming. J Math Anal Appl 259:346–356

Bot RI, Grad SM, Wanka G (2009) Duality in vector optimization. Springer Science & Business Media

Cambini R, Carosi L (2010) Mixed Type Duality for Multiobjective Optimization Problems with Set Constraints, in Optimality Conditions in Vector Optimization, M. A. Jimenéz, G. Ruiz-Garzón and A. Rufián-Lizana eds., Bentham Science Publishers, 119-142

Habibi S, Kanzi N, Ebadian A (2020) Weak slater qualification for nonconvex multiobjective semi-infinite programming. Iran J Sci Technol Trans A Sci: Science 44(2):417–424

Jahn J (1983) Duality in vector optimization. Math Program 25(3):343–353

Jayswal A, Jha S, Prasad AK, Ahmad I (2018) Second-order symmetric duality in variational control problems over cone constraints. Asia Pac J Oper Res 35(4):1850028

Kanzi N, Shaker AJ, Caristi G (2018) Optimality, scalarization and duality in linear vector semi-infinite programming. Optimization 67(5):523–536

Mukherjee RN, Rao CP (2000) Mixed type duality for multiobjective variational problems. J Math Anal Appl 252(2):571–586

Piao GR (2015) Jiao L (2015) Optimality and mixed duality in multiobjective E-convex programming. J Inequal Appl 1:1–13

Treanţă S, Mititelu Ş (2019) Duality with (ρ, b)-quasiinvexity for multidimensional vector fractional control problems. J Inf Optim Sci 40(7):1429–1445

Treanţă S, Mititelu Ş (2020) Efficiency for variational control problems on Riemann manifolds with geodesic quasiinvex curvilinear integral functionals. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114(3):1-15

Xu Z (1996) Mixed type duality in multiobjective programming problems. J Math Anal Appl 198(3):621–635

Youness EA (1999) E-convex sets, E-convex functions, and E-convex programming. J Optim Theory Appl 102:439–450

Megahed AA, Gomma HG, Youness EA, El-Banna AZ (2013) Optimality conditions of E-convex programming for an E-differentiable function. J Inequal Appl 2013:246

Abdulaleem N (2019) E-invexity and generalized E-invexity in E-differentiable multiobjective programming, In: ITM Web of Conferences, (Vol. 24, p. 01002), EDP Sciences

Hanson MA (1981) On sufficiency of the Kuhn-Tucker conditions. J Math Anal Appl 80(2):545–550

Jeyakumar V, Mond B (1992) On generalised convex mathematical programming. Anziam J 34(1):43–53

Abdulaleem N (2018) Wolfe E-duality for E-differentiable E-invex vector optimization problems with inequality and equality constraints. 2018 Intl Conf on Applied Math & Comput Sci (ICAMCS.NET), Budapest, Hungary, 156-163