عنوان

Generalized preinvexity and second order duality in multiobjective programming /

(Number (ISBN

9789811319815

(Number (ISBN

9789811319822

(Number (ISBN

9811319812

(Number (ISBN

9811319820

Erroneous ISBN

9789811319808

Erroneous ISBN

9811319804

Title Proper

Generalized preinvexity and second order duality in multiobjective programming /

General Material Designation

[Book]

First Statement of Responsibility

Xinmin Yang.

Place of Publication, Distribution, etc.

Singapore :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource

Series Title

Springer optimization and its applications,

Volume Designation

volume 142

ISSN of Series

1931-6828 ;

Text of Note

Includes bibliographical references and index.

Text of Note

Intro; Generalized Preinvexity and Second Order Duality in Multiobjective Programming; Abstract; Preface; Contents; Part I Generalized Preinvexity; 1 Preinvex Functions; 1.1 Introduction; 1.2 Notations; 1.3 Semicontinuity and Preinvex Functions; 1.4 Characterizations of Preinvex Functions; 2 Semistrictly Preinvex Functions; 2.1 Introduction and Notations; 2.2 Properties of Semistrictly Preinvex Functions; 2.3 Relationship Between Preinvexity and Semistrict Preinvexity; 2.4 Lower Semicontinuity and Semistrict Preinvexity; 2.5 Gradient Properties of Strictly and Semistrictly Preinvex Functions.

Text of Note

3 Semipreinvex Functions3.1 Introduction; 3.2 Some New Properties of Semipreinvex Functions; 3.3 Applications to Multiobjective Fractional Programming; 4 Prequasiinvex Functions; 4.1 Introduction and Preliminaries; 4.2 Properties of Prequasiinvex Functions; 4.3 Properties of Semistrictly Prequasiinvex Functions; 4.4 Properties of Strictly Prequasiinvex Functions; 4.5 Applications of Prequasiinvex Type Functions; Part II Generalized Invariant Monotonicity; 5 Generalized Invexity and Generalized Invariant Monotonicity; 5.1 Introduction.

Text of Note

5.2 Invariant Monotone and Strictly Invariant Monotone Maps5.3 Invariant Quasimonotone Maps; 5.4 Invariant Pseudomonotone Maps; 5.5 Strictly Invariant Pseudomonotone Maps; 5.6 Conclusions; Part III Duality in Multiobjective Programming; 6 Multiobjective Wolfe Type Second-Order Symmetric Duality; 6.1 Introduction; 6.2 Notations and Definitions; 6.3 Wolfe Type I Symmetric Duality; 6.4 Wolfe Type II Symmetric Duality; 7 Multiobjective Mond-Weir-Type Second-Order Symmetric Duality; 7.1 Introduction; 7.2 Notations and Preliminaries; 7.3 Mond-Weir-Type Symmetric Duality; 7.4 Remarks and Examples.

Text of Note

8 Multiobjective Second-Order Duality with Cone Con\straints8.1 Introduction; 8.2 Preliminaries; 8.3 Weak Duality; 8.4 Strong Duality; 8.5 Converse Duality; 9 Multiobjective Higher-Order Duality; 9.1 Introduction; 9.2 Mond-Weir Type Converse Duality Involving Cone Constraints; 9.3 Mond-Weir Type Symmetric Duality; 9.4 Special Cases; References; Index.

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8

8

8

Text of Note

This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9789811319815

International Standard Book Number

9789811319808

Mathematical optimization.

Nonlinear programming.

Theory of distributions (Functional analysis)

Mathematical optimization.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

Nonlinear programming.

Theory of distributions (Functional analysis)

KJM

KJT

KJT

MAT-- 005000

MAT-- 034000

Number

Edition

Class number

Yang, Xinmin.

Date of Transaction

20200823225915.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y