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Generalized Convexity and Vector Optimization

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ISBN-10: 3540856706

ISBN-13: 9783540856702

Edition: 2009

Authors: Shashi K. Mishra, Kin Keung Lai, Shou-Yang Wang

List price: $356.95
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This text discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions.
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Book details

List price: $356.95
Copyright year: 2009
Publisher: Springer London, Limited
Binding: Hardcover
Pages: 294
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 1.386
Language: English

Introduction
Nonlinear Symmetric Dual Pair of Programming Problems
Motivation
Generalized Convex Functions
Convex and Generalized Convex Functions
Invex and Generalized Invex Functions
Type I and Related Functions
Univex and Related Functions
V-Invex and Related Functions
Further Generalized Convex Functions
Generalized Type I and Related Functions
Generalized Type I Univex Functions
Nondifferentiable d-Type I and Related Functions
Continuous-Time Analogue of Generalized Type I Functions
Nondifferentiable Continuous-Time Analogue of Generalized Type I Functions
Generalized Convex Functions in Complex Spaces
Semilocally Connected Type I Functions
(&Ghe;, �, �, �)-V-Type-I and Related n-Set Functions
Nondifferentiable d-V-Type-I and Related Functions
Nonsmooth Invex and Related Functions
Type I and Related Functions in Banach Spaces
Optimality Conditions
Optimality Conditions for Vector Optimization Problems
Optimality Conditions for Nondifferentiable Vector Optimization Problems
Optimality Conditions for Minimax Fractional Programs
Optimality Conditions for Vector Optimization Problems on Branch Spaces
Optimality Conditions for Complex Minimax Programs on Complex Spaces
Optimality Conditions for Continuous-Time Optimization Problems
Optimality Conditions for Nondifferentiable Continuous-Time Optimization Problems
Optimality Conditions for Fractional Optimization Problems with Semilocally Type I Pre-invex Functions
Optimality Conditions for Vector Fractional Subset Optimization Problems
Duality Theory
Mond-Weir Type Duality for Vector Optimization Problems
General Mond-Weir Type Duality for Vector Optimization Problems
Mond-Weir Duality for Nondifferentiable Vector Optimization Problems
General Mond-Weir Duality for Nondifferentiable Vector Optimization Problems
Mond-Weir Duality for Nondifferentiable Vector Optimization Problems with d-Univex Functions
General Mond-Weir Duality for Nondifferentiable Vector Optimization Problems with d-Univex Functions
Mond-Weir Duality for Nondifferentiable Vector Optimization Problems with d-Type-I Univex Functions
General Mond-Weir Duality for Nondifferentiable Vector Optimization Problems with d-Type-I Univex Functions
First Duality Model for Fractional Minimax Programs
Second Duality Model for Fractional Minimax Programs
Third Duality Model for Fractional Minimax Programs
Mond-Weir Duality for Nondifferentiable Vector Optimization Problems
Duality for Vector Optimization Problems on Banach Spaces
First Dual Model for Complex Minimax Programs
Second Dual Model for Complex Minimax Programs
Mond-Weir Duality for Continuous-Time Vector Optimization Problems
General Mond-Weir Duality for Continuous-Time Vector Optimization Problems
Duality for Nondifferentiable Continuous-Time Optimization Problems
Duality for Vector Control Problems
Duality for Vector Fractional Subset Optimization Problems
Second and Higher Order Duality
Second Order Duality for Nonlinear Optimization Problems
Second Order Duality for Minimax Programs
Second Order Duality for Nondifferentiable Minimax Programs
Higher Order Duality for Nonlinear Optimization Problems
Mond-Weir Higher Order Duality for Nonlinear Optimization Problems
General Mond-Weir Higher Order Duality for Nonlinear Optimization Problems
Mangasarian Type Higher Order Duality for Nondifferentiable Optimization Problems
Mond-Weir Type Higher Order Duality for Nondifferentiable Optimization Problems
General Mond-Weir Type Higher Order Duality for Nondifferentiable Optimization Problems
Symmetric Duality
Higher Order Symmetric Duality
Mond-Weir Type Higher Order Symmetric Duality
Self Duality
Higher Order Vector Nondifferentiable Symmetric Duality
Minimax Mixed Integer Optimization Problems
Mixed Symmetric Duality in Nondifferentiable Vector Optimization Problems
Mond-Weir Type Mixed Symmetric First and Second Order Duality in Nondifferentiable Optimization Problems
Second Order Mixed Symmetric Duality in Nondifferentiable Vector Optimization Problems
Symmetric Duality for a Class of Nondifferentiable Vector Fractional Variational Problems
Vector Variational-like Inequality Problems
Relationships Between Vector Variational-Like Inequalities and Vector Optimization Problems
On Relationships Between Vector Variational Inequalities and Vector Optimization Problems with Pseudo-Univexity
Relationship Between Vector Variational-Like Inequalities and Nondifferentiable Vector Optimization Problems
Characterization of Generalized Univex functions
Characterization of Nondifferentiable Generalized Invex Functions
References
Index