When the Karush–Kuhn–Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems
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DOI: 10.1007/s10957-017-1121-4
Abstract: In this paper, we present higher-order analysis of necessary and sufficient optimality conditions for problems with inequality constraints. The paper addresses the case when the constraints are not assumed to be regular at a solution… read more here.
Keywords: optimality conditions; optimality; kuhn tucker; optimization ... See more keywords
Improvement of Karush–Kuhn–Tucker conditions under uncertainties using robust decision making indexes
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DOI: 10.1016/j.apm.2016.11.021
Abstract: Abstract Almost all practical engineering problems work with uncertainties. Particularly, in chemical engineering problems, uncertainties in process models and measurements increase complexity on optimization modeling. In these cases, points are transformed in regions, and the… read more here.
Keywords: karush kuhn; kuhn tucker; conditions uncertainties;
A Generalization of the Karush–Kuhn–Tucker Theorem for Approximate Solutions of Mathematical Programming Problems Based on Quadratic Approximation
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DOI: 10.1134/s0965542518030132
Abstract: In computations related to mathematical programming problems, one often has to consider approximate, rather than exact, solutions satisfying the constraints of the problem and the optimality criterion with a certain error. For determining stopping rules… read more here.
Keywords: mathematical programming; kuhn tucker; approximate solutions; programming problems ... See more keywords
New perspective on the Kuhn–Tucker theorem
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DOI: 10.1134/s1064562417050039
Abstract: A new proof of the Kuhn–Tucker theorem on necessary conditions for a minimum of a differentiable function of several variables in the case of inequality constraints is given. The proof relies on a simple inequality… read more here.
Keywords: perspective kuhn; tucker theorem; kuhn tucker; new perspective ... See more keywords