Invexity and optimization
著者
書誌事項
Invexity and optimization
（Nonconvex optimization and its applications, v. 88）
Springer, c2008
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注記
Includes bibliographical references (p. [251]-263) and index
内容説明・目次
内容説明
Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.
目次
Introduction.- Invex Functions (The Smooth Case).- Pseudolinearity. Invexity and Generalized Monotonicity.- Extensions of Invexity to Nondifferentiable Functions.- Invexity in Nonlinear Programming.- Invex Functions in Multiobjective Programming.- Variational and Control problems involving Invexity.- Invexity For Some Special Functions and Problems.- References.- Index.
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