Optimality Conditions for Preinvex Functions Using Symmetric Derivative [PDF]
Operations Research and Decisions, 2022 As a generalization of convex functions and derivatives, in this paper, the authors study the concept of a symmetric derivative for preinvex functions. Using symmetrical differentiation, they discuss an important characterization for preinvex functions ...
Sachin Rastogi +2 more
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Criterion for Generalized Weakly Fuzzy Invex Monotonocities
Advances in Fuzzy Systems, 2018 The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented.
Meraj A. Khan +2 more
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Multiobjective fractional programming problems and the sufficient condition involving Hb – (p, r)-η- invex function [PDF]
MATEC Web of Conferences, 2021 On the basis of arcwise connected convex functions and (p, r) −η - invex functions, we established Hb –(p, r) –η- invex functions. Based on the generalized invex assumption of new functions, the solutions of a class of multiobjective fractional ...
Gao Xiaoyan, Niu Huan
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E-invexity and generalized E-invexity in E-differentiable multiobjective programming [PDF]
ITM Web of Conferences, 2019 In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E ...
Abdulaleem Najeeb
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Higher order duality in multiobjective fractional programming problem with generalized convexity [PDF]
Yugoslav Journal of Operations Research, 2017 We have introduced higher order generalized hybrid B -(b,ρ,θ,˜ρ,˜r)-invex function. Then, we have estabilished higher order weak, strong and strict converse duality theorems for a multiobjective fractional programming problem with support ...
Pankaj, Joshi Bhuwan Chandra
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Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 The Wolfe-type model over arbitrary cones is a new sort of model that we introduce in this article. We defend duality theorems under more generalized higher-order assumptions in the section after this.
Rajnish Kumar +2 more
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Sufficient optimality criteria and duality for multiobjective variational control problems with B-(p,r)-invex functions [PDF]
Opuscula Mathematica, 2014 In this paper, we generalize the notion of \(B\)-\((p,r)\)-invexity introduced by Antczak in [A class of \(B\)-\((p; r)\)-invex functions and mathematical programming, J. Math. Anal. Appl. 286 (2003), 187-206] for scalar optimization problems to the case
Tadeusz Antczak, Manuel Arana Jiménez
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On Constraint Qualifications and Optimality Conditions in Nonsmooth Semi-infinite Optimization [PDF]
Control and Optimization in Applied MathematicsThe primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs).
Atefeh Hassani Bafrani
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Optimality conditions and duality in multiobjective programming with invexity [PDF]
Yugoslav Journal of Operations Research, 2008 (', ρ)-invexity has recently been introduced with the intent of generalizing invex functions in mathematical programming. Using such conditions we obtain new sufficiency results for optimality in multiobjective programming and extend some classical ...
Ferrara Massimiliano +1 more
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Nonsmooth semi-infinite roughly B-invex multi-objective programming problems
Results in Control and Optimization, 2023 In this paper, we will study a nonsmooth semi-infinite multi-objective programming problem involving roughly B-invex functions. Sufficient optimality conditions for the primal problem are derived. We shall formulate Mond–Weir type dual and establish weak
Tarek Emam
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