๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Invexity and Optimization

โœ Scribed by Shashi Kant Mishra, Giorgio Giorgi (auth.)

Book ID
127455965
Publisher
Springer
Year
2008
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Berlin
ISBN-13
9783540785620
ISSN
1571-568X

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

โœฆ Subjects

Operations Research/Decision Theory

๐Ÿ“œ SIMILAR VOLUMES

Invexity and Optimization
Invexity and Optimization
โœ Shashi Kant Mishra, Giorgio Giorgi (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Springer ๐ŸŒ English โš– 2 MB

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

Optimal control and invexity
Optimal control and invexity
โœ B.D. Craven ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 468 KB

For a constrained minimization problem in infinite dimensions, in particular an optimal control problem, the attainment of a minimum follows if necessary Lagrangian conditions---Karnsh-Kuhn-Tucker or equivalently Pontryagin--are solvable, provided that a suitable invex hypothesis holds. Duality resu

V-Invex Functions and Vector Optimizatio
V-Invex Functions and Vector Optimization
โœ Shashi Kant Mishra, Shouyang Wang, Kin Keung Lai (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

**V-INVEX FUNCTIONS AND VECTOR OPTIMIZATION** summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past several decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jey

V-Invex Functions and Vector Optimizatio
V-Invex Functions and Vector Optimization
โœ Shashi Kant Mishra, Shouyang Wang, Kin Keung Lai (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

**V-INVEX FUNCTIONS AND VECTOR OPTIMIZATION** summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past several decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jey