Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems [PDF]
Yugoslav Journal of Operations Research, 2022 In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and ...
Maurya Jitendra Kumar +1 more
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Generalized invexity and mathematical programs [PDF]
Yugoslav Journal of Operations Research, 2021 In this paper, using generalized convexity assumptions, we show that Mstationary condition is sufficient for global or local optimality under some mathematical programming problem with equilibrium constraints(MPEC).
Joshi Bhuwan Chandra +2 more
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Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential [PDF]
Yugoslav Journal of Operations Research, 2021 Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints ...
Pham Thanh-Hung
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A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems [PDF]
Control and Optimization in Applied Mathematics, 2023 This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints. Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and ...
Hamed Soroush
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Guignard Qualifications and Stationary Conditions for Mathematical Programming with Nonsmooth Switching Constraints [PDF]
Control and Optimization in Applied Mathematics, 2021 In this paper, some constraint qualifications of the Guignard type are defined for optimization problems with continuously differentiable objective functions and locally Lipschitz switching constraints.
Fatemeh Gorgini Shabankareh +3 more
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On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints [PDF]
Yugoslav Journal of Operations Research, 2019 In this paper, we considered the mathematical programs with vanishing constraints or MPVC. We proved that an MPVC-tailored penalty function, introduced in [5], is still exact under a very weak and new constraint qualification.
Nath Triloki, Khare Abeka
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Mathematics, 2022 In this paper, we consider a class of multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds (in short, (MMPEC)).
Savin Treanţă +3 more
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Advances in Mathematical Physics, 2020 Homotopy methods are powerful tools for solving nonlinear programming. Their global convergence can be generally established under conditions of the nonemptiness and boundness of the interior of the feasible set, the Positive Linear Independent ...
Zhengyong Zhou, Ting Zhang
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Necessary Optimality Conditions for Non-smooth Continuous-Time Problems Using Convexificators [PDF]
Control and Optimization in Applied Mathematics, 2020 In this paper, we develop general necessary optimality conditions of the KKT types for non-smooth continuous-time optimization problems with inequality constraints. The primary instrument in our study is the concept of a convexificator.
Ali Ansari Ardali
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