Multiobjective Fractional Symmetric Duality in Mathematical Programming with (C,Gf)-Invexity Assumptions
1
Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121 006, India
2
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India
3
Section of Mathematics, International Telematic University UNINETTUNO, C.so Vittorio Emanuele II, 3900186 Roma, Italy
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(3), 97; https://doi.org/10.3390/axioms8030097
Received: 21 June 2019 / Revised: 6 August 2019 / Accepted: 7 August 2019 / Published: 13 August 2019
In this paper, a new class of -invex functions introduce and give nontrivial numerical examples which justify exist such type of functions. Also, we construct generalized convexity definitions (such as, -invexity, C-convex etc.). We consider Mond–Weir type fractional symmetric dual programs and derive duality results under -invexity assumptions. Our results generalize several known results in the literature.
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MDPI and ACS Style
Dubey, R.; Mishra, L.N.; Cesarano, C. Multiobjective Fractional Symmetric Duality in Mathematical Programming with (C,Gf)-Invexity Assumptions. Axioms 2019, 8, 97. https://doi.org/10.3390/axioms8030097
AMA Style
Dubey R, Mishra LN, Cesarano C. Multiobjective Fractional Symmetric Duality in Mathematical Programming with (C,Gf)-Invexity Assumptions. Axioms. 2019; 8(3):97. https://doi.org/10.3390/axioms8030097
Chicago/Turabian StyleDubey, Ramu; Mishra, Lakshmi N.; Cesarano, Clemente. 2019. "Multiobjective Fractional Symmetric Duality in Mathematical Programming with (C,Gf)-Invexity Assumptions" Axioms 8, no. 3: 97. https://doi.org/10.3390/axioms8030097
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