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.
Rezensionen / Stimmen
From the reviews:
"The present book is the first monograph that presents an overview (and also some new results) on invex and related functions in various types of optimization problems . . The book is well written and well organized. . accessible textbook which can be useful as a reference for researchers and graduate students." (Vicente Novo, Mathematical Reviews, Issue 2009 C)
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ISBN-13
978-3-540-78562-0 (9783540785620)
DOI
10.1007/978-3-540-78562-0
Schweitzer Klassifikation
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.
