Necessary Optimality Conditions
Necessary Optimality Conditions for Multi Objective Semi Infinite Variational Problem
... developed necessary optimality conditions for a Semi-Infinite Variational ...These optimality conditions are further extended to Multi-objective Semi-infinite Variational Problem (MSVP) ...
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On the theory of necessary optimality conditions in discrete systems
... the necessary optimality condition () is rather ...smoothness conditions with respect to the input data of prob- lem ...the optimality condition () has a wider range of applications than the ...
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Necessary Optimality Conditions For Problem With Integral Boundary And Distributed Conditions
... second-order necessary optimality conditions in the classical sense for systems with non-local conditions , Differential equations, ...boundary conditions, ...
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Necessary Optimality Conditions for a Class of Nonsmooth Vector Optimization Problems
... concept, necessary optimality condition for the unconstrained optimization problem is ...Kuhn–Tucker necessary optimality condition in terms of the Clarke subdifferentials is ...
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ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS
... Conditions (1.2)–(1.5) do hold for an optimal solution of the Ramsey problem with exponential discounting, when ψ(t) → 0 as t → ∞. But all (1.2)–(1.5) fail for the zero discount rate, when the objective functional ...
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Optimality and Duality for Second-order Multiobjective Variational Problems
... This paper is organized as follows. In Section 2, we prove a converse duality theorem modifying Theorem 1. In Section 3, we consider the multiobjective analogue of problem (CP). This section also contains notations and ...
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Duality models for some nonclassical problems in the calculus of variations
... of necessary optimality conditions given in [4] for a special case of ...these optimality conditions in conjunction with some other auxil- iary results to establish both parametric and ...
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Optimality for set valued optimization in the sense of vector and set criteria
... the optimality conditions for both the vector criterion and set criterion for a set-valued optimization problem in this ...mality conditions and a necessary condition for a weak minimizer in ...
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Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory
... order necessary optimality conditions? The answer is ...order conditions very useful to carry out the numerical analysis of the control problems, but we should ask ourselves if they are ...
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Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
... ity conditions in bilevel multiobjective optimization, in the general case were both the higher and the lower level problems are ...by optimality con- ditions given by ...ity conditions for a ...
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Exact calculus for proximal subgradients with applications to optimization
... The rest of the paper is organized as follows. In Section 2 we present basic definitions and preliminaries, which are widely used in the sequel. Section 3 contains new calculus rules for proximal subgradients of ...
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Interval-valued vector optimization problems involving generalized approximate convexity
... 4, necessary optimality conditions characterizing local strong quasi LU-efficient solutions for interval-valued vector optimization problems are ...and necessary optimality ...
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OPTIMIZATION OF HIGH VOLTAGE POWER SUPPLY FOR INDUSTRIAL MICROWAVE GENERATORS FOR ONE MAGNETRON
... several necessary optimality conditions are established and proved using the powerful tool of K − subdifferential and the generalized convexity namely generalized uniform K − ( , , , ) F α ρ d − ...
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SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM
... obtained necessary optimality conditions for a non-linear programming problem by taking the objective and constraint functions to be semilocally convex and their right differentials at a point to be ...
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Optimality conditions for strict minimizers of higher order in semi infinite multi objective optimization
... sufficient optimality conditions is the strong convexity of higher-order ...SIMOPs. Necessary optimality conditions of Karush-Kuhn- Tuchker type are derived under these two constraint ...
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Fractional Herglotz variational principles with generalized Caputo derivatives
... the necessary definitions and results from the generalized fractional variational ...3 necessary optimality conditions of Euler–Lagrange type (Theorem ...transversality conditions ...
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Approximate weakly efficient solutions of set valued vector equilibrium problems
... and necessary optimality conditions for approximate weakly efficient solutions to the set-valued vector equilibrium ...and necessary optimality conditions for approximate weakly ...
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Second order composed contingent epiderivatives and set valued vector equilibrium problems
... sufficient optimality conditions and necessary optimality conditions for the weakly efficient solution of set-valued vector equilibrium ...
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On minimax programming problems involving right upper Dini derivative functions
... To relax the definition of arcwise convexity in terms of directional derivative recently Yuan and Liu [] introduced the concept of (α, ρ)-right upper-Dini-derivative locally ar- cwise connected with respect to the arc H ...
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APPROXIMATE OPTIMALITY CONDITIONS
... approximate optimality conditions in terms of Ekeland’s variational principle and some of its ...approximate optimality conditions are established in the cases: convex, locally Lipschitz and ...
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