On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions [PDF]
Yugoslav Journal of Operations Research, 2013 A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke ...
Jayswal Anurag +2 more
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On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity [PDF]
Abstract and Applied Analysis, 2012 By using Clarke’s generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called K-α-generalized invex, K-α-nonsmooth invex, and other related functions.
Hehua Jiao, Sanyang Liu
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Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds [PDF]
Journal of Applied Mathematics, 2014 We introduce a class of functions called geodesic B-preinvex and geodesic B-invex functions on Riemannian manifolds and generalize the notions to the so-called geodesic quasi/pseudo B-preinvex and geodesic quasi/pseudo B-invex functions.
Sheng-lan Chen +2 more
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Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity
Journal of Applied Mathematics, 2013 We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B-p,r-invex functions with respect to η and b. We introduce a new concept of nonconvex functions, called exponential B-p,r-invex functions.
Shun-Chin Ho
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Jensen-Type Inequalities for Invex Functions [PDF]
, 1999 Jensen's inequality for a real convex function f on a convex domain is generalised in several ways to vector functions with a cone inequality, and to invex functions generalizing convex ...
Craven, Bruce Desmond +2 more
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A Study of Geodesic (E, F)-Preinvex Functions on Riemannian Manifolds
MathematicsIn this manuscript, we define the (E,F)-invex set, (E,F)-invex functions, and (E,F)-preinvex functions on Euclidean space, i.e., simply vector space. We extend these concepts on the Riemannian manifold.
Ehtesham Akhter +2 more
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QUANTUM OSTROWSKI TYPE INEQUALITIES FOR PRE-INVEX FUNCTIONS [PDF]
, 2022 In this paper, using the quantum derivatives and quantum integrals, we prove some new quantum Ostrowski's type inequalities for pre-invex functions. Furthermore, in the special cases of newly developed inequalities, we obtain different new and existing ...
Sarıkaya, Mehmet Zeki +8 more
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Further Study on Strong Lagrangian Duality Property for Invex Programs via Penalty Functions [PDF]
Journal of Inequalities and Applications, 2010 We apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program. Our results extend and improve the corresponding results in the literature.
Huang XX, Zhang J
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Duality results on mathematical programs with vanishing constraints involving generalized invex functions [PDF]
, 2023 In the here presented research, we investigate Wolfe and Mond-Weir duality models applied to a specific category of generalized convex functions known as p-invex functions. We establish various dualities between the primal MPVC and itsWolfe type dual, as
Joshi, Bhuwan Chandra
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Logarithmic penalty function method for invex multi-objective fractional programming problems
Journal of Taibah University for Science, 2020 In this paper, a new logarithmic penalty function method is used for solving nonlinear multi-objective fractional programming problems (MOFPP) involving invex objectives and constraints functions with respect to the same function η.
Mansur Hassan +2 more
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