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Titlebook: Topics in Nonconvex Optimization; Theory and Applicati Shashi Kant Mishra Book 2011 Springer New York 2011 Nonconvex Optimization.Operation

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发表于 2025-3-23 10:56:41 | 显示全部楼层
On Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Under Generalized V-Invexity,In this chapter, we establish many global nonparametric sufficient optimality conditions under various generalized . − .-invexity assumptions for a minmax fractional programming problem with infinitely many nonlinear inequality and equality constraints.
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Shashi Kant MishraContributions are peer-reviewed to ensure quality..Brings together new content, theoretical developments and applications..Contains articles on both theory and application..Includes supplementary mate
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978-1-4614-2889-3Springer New York 2011
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Optimality Conditions Without Continuity in Multivalued Optimization Using Approximations as Generalized Derivatives,ders 1 and 2 for various kinds of efficiency in multivalued vector optimization without convexity and even continuity. Compactness assumptions are also relaxed. Our theorems include several recent existing results in the literature as special cases.
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Proximal Proper Saddle Points in Set-Valued Optimization, problem for which an existence criterion is obtained. It is also observed that this saddle point is not related to some of the well-known saddle points. A saddle point type optimality criterion is derived for optimality in terms of proximal proper minimizers.
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An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem,tional programming problem in which both the right-hand side and the technological coefficients are fuzzy numbers. We compare efficiency of the proposed solution method with the well-known “fuzzy decisive set method” in terms of the number of iterations taken to reach the optimal solution. A numerical illustration is provided for the purpose.
发表于 2025-3-24 14:14:56 | 显示全部楼层
Decomposition Methods Based on Augmented Lagrangians: A Survey, problemswith major emphasis on several splitting approaches based on the classical or modified augmented Lagrangian functions. This study covers last 40 years of research on theoretical properties of augmented Lagrangians.
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Variational Inequalities and Optimistic Bilevel Programming Problem Via Convexifactors, recession cone and utilize them to establish interrelations between solutions of the Bilevel programming problem and Stampacchia and Minty-type variational inequalities defined in terms of convexifactors and their recession cone. We also establish existence results for these variational inequalities.
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