MARC details
| 000 -LEADER |
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| fixed length control field |
07869cam a2200361 i 4500 |
| 001 - ACCESSION NUMBER |
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| control field |
18102693 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231011102457.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
140404t20142014flua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2014013180 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781482222074 (hardcover : acidfree paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1482222078 (hardcover : acidfree paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Transcribing agency |
DLC |
| Description conventions |
rda |
| Modifying agency |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA427 |
| Item number |
.A46 2014 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.74 |
| Edition number |
23 |
| Item number |
AL-M |
| 245 00 - TITLE STATEMENT |
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| Title |
Fixed point theory, variational analysis, and optimization / |
| Statement of responsibility, etc |
edited by Saleh A. R. Al-Mezel, Falleh R. M. Al-Solamy, Qamrul H. Ansari. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
FL : |
| Name of publisher, distributor, etc |
CRC Press, |
| Date of publication, distribution, etc |
c2014. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xx, 347 pages : |
| Other physical details |
illustrations; |
| Dimensions |
25 cm |
| 500 ## - GENERAL NOTE |
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| General note |
"A Chapman & Hall Book." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 334-341) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface<br/><br/>List of Figures<br/><br/>List of Tables<br/><br/>Contributors<br/><br/>I. Fixed Point Theory<br/><br/>Common Fixed Points in Convex Metric Spaces<br/><br/>Abdul Rahim Khan and Hafiz Fukhar-ud-din<br/><br/>Introduction<br/><br/>Preliminaries<br/><br/>Ishikawa Iterative Scheme<br/><br/>Multistep Iterative Scheme<br/><br/>One-Step Implicit Iterative Scheme<br/><br/>Bibliography<br/><br/>Fixed Points of Nonlinear Semigroups in Modular Function Spaces<br/><br/>B. A. Bin Dehaish and M. A. Khamsi<br/><br/>Introduction<br/><br/>Basic Definitions and Properties<br/><br/>Some Geometric Properties of Modular Function Spaces<br/><br/>Some Fixed-Point Theorems in Modular Spaces<br/><br/>Semigroups in Modular Function Spaces<br/><br/>Fixed Points of Semigroup of Mappings<br/><br/>Bibliography<br/><br/>Approximation and Selection Methods for Set-Valued Maps and Fixed Point Theory<br/><br/>Hichem Ben-El-Mechaiekh<br/><br/>Introduction<br/><br/>Approximative Neighborhood Retracts, Extensors, and Space Approximation<br/><br/>Approximative Neighborhood Retracts and Extensors<br/><br/>Contractibility and Connectedness<br/><br/>Contractible Spaces<br/><br/>Proximal Connectedness<br/><br/>Convexity Structures<br/><br/>Space Approximation<br/><br/>The Property A(K;P) for Spaces<br/><br/>Domination of Domain<br/><br/>Domination, Extension, and Approximation<br/><br/>Set-Valued Maps, Continuous Selections, and Approximations<br/><br/>Semicontinuity Concepts<br/><br/>USC Approachable Maps and Their Properties<br/><br/>Conservation of Approachability<br/><br/>Homotopy Approximation, Domination of Domain, and Approachability<br/><br/>Examples of A−Maps<br/><br/>Continuous Selections for LSC Maps<br/><br/>Michael Selections<br/><br/>A Hybrid Continuous Approximation-Selection Property<br/><br/>More on Continuous Selections for Non-Convex Maps<br/><br/>Non-Expansive Selections<br/><br/>Fixed Point and Coincidence Theorems<br/><br/>Generalizations of the Himmelberg Theorem to the Non-Convex Setting<br/><br/>Preservation of the FPP from P to A(K;P)<br/><br/>A Leray-Schauder Alternative for Approachable Maps<br/><br/>Coincidence Theorems<br/><br/>Bibliography<br/><br/>II. Convex Analysis and Variational Analysis<br/><br/>Convexity, Generalized Convexity, and Applications<br/><br/>N. Hadjisavvas<br/><br/>Introduction<br/><br/>Preliminaries<br/><br/>Convex Functions<br/><br/>Quasiconvex Functions<br/><br/>Pseudoconvex Functions<br/><br/>On the Minima of Generalized Convex Functions<br/><br/>Applications<br/><br/>Sufficiency of the KKT Conditions<br/><br/>Applications in Economics<br/><br/>Further Reading<br/><br/>Bibliography<br/><br/>New Developments in Quasiconvex Optimization<br/><br/>D. Aussel<br/><br/>Introduction<br/><br/>Notations<br/><br/>The Class of Quasiconvex Functions<br/><br/>Continuity Properties of Quasiconvex Functions<br/><br/>Differentiability Properties of Quasiconvex Functions<br/><br/>Associated Monotonicities<br/><br/>Normal Operator: A Natural Tool for Quasiconvex Functions<br/><br/>The Semistrictly Quasiconvex Case<br/><br/>The Adjusted Sublevel Set and Adjusted Normal Operator<br/><br/>Adjusted Normal Operator: Definitions<br/><br/>Some Properties of the Adjusted Normal Operator<br/><br/>Optimality Conditions for Quasiconvex Programming<br/><br/>Stampacchia Variational Inequalities<br/><br/>Existence Results: The Finite Dimensions Case<br/><br/>Existence Results: The Infinite Dimensional Case<br/><br/>Existence Result for Quasiconvex Programming<br/><br/>Bibliography<br/><br/>An Introduction to Variational-Like Inequalities<br/><br/>Qamrul Hasan Ansari<br/><br/>Introduction<br/><br/>Formulations of Variational-Like Inequalities<br/><br/>Variational-Like Inequalities and Optimization Problems<br/><br/>Invexity<br/><br/>Relations between Variational-Like Inequalities and an Optimization Problem<br/><br/>Existence Theory<br/><br/>Solution Methods<br/><br/>Auxiliary Principle Method<br/><br/>Proximal Method<br/><br/>Appendix<br/><br/>Bibliography<br/><br/>III. Vector Optimization<br/><br/>Vector Optimization: Basic Concepts and Solution Methods<br/><br/>Dinh The Luc and Augusta Ratiu<br/><br/>Introduction<br/><br/>Mathematical Backgrounds<br/><br/>Partial Orders<br/><br/>Increasing Sequences<br/><br/>Monotone Functions<br/><br/>Biggest Weakly Monotone Functions<br/><br/>Pareto Maximality<br/><br/>Maximality with Respect to Extended Orders<br/><br/>Maximality of Sections<br/><br/>Proper Maximality and Weak Maximality<br/><br/>Maximal Points of Free Disposal Hulls<br/><br/>Existence<br/><br/>The Main Theorems<br/><br/>Generalization to Order-Complete Sets<br/><br/>Existence via Monotone Functions<br/><br/>Vector Optimization Problems<br/><br/>Scalarization<br/><br/>Optimality Conditions<br/><br/>Differentiable Problems<br/><br/>Lipschitz Continuous Problems<br/><br/>Concave Problems<br/><br/>Solution Methods<br/><br/>Weighting Method<br/><br/>Constraint Method<br/><br/>Outer Approximation Method<br/><br/>Bibliography<br/><br/>Multi-Objective Combinatorial Optimization<br/><br/>Matthias Ehrgott and Xavier Gandibleux<br/><br/>Introduction<br/><br/>Definitions and Properties<br/><br/>Two Easy Problems: Multi-Objective Shortest Path and Spanning Tree<br/><br/>Nice Problems: The Two-Phase Method<br/><br/>The Two-Phase Method for Two Objectives<br/><br/>The Two-Phase Method for Three Objectives<br/><br/>Difficult Problems: Scalarization and Branch and Bound<br/><br/>Scalarization<br/><br/>Multi-Objective Branch and Bound<br/><br/>Challenging Problems: Metaheuristics<br/><br/>Conclusion<br/><br/>Bibliography<br/><br/>Index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis—fixed point theory, variational inequalities, and vector optimization—but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions involving differentiable or directionally differentiable functions. This essential reference supplies both an introduction to the field and a guideline to the literature, progressing from basic concepts to the latest developments. Packed with detailed proofs and bibliographies for further reading, the text:<br/><br/>Examines Mann-type iterations for nonlinear mappings on some classes of a metric space<br/>Outlines recent research in fixed point theory in modular function spaces<br/>Discusses key results on the existence of continuous approximations and selections for set-valued maps with an emphasis on the nonconvex case<br/>Contains definitions, properties, and characterizations of convex, quasiconvex, and pseudoconvex functions, and of their strict counterparts<br/>Discusses variational inequalities and variational-like inequalities and their applications<br/>Gives an introduction to multi-objective optimization and optimality conditions<br/>Explores multi-objective combinatorial optimization (MOCO) problems, or integer programs with multiple objectives<br/>Fixed Point Theory, Variational Analysis, and Optimization is a beneficial resource for the research and study of nonlinear analysis, optimization theory, variational inequalities, and mathematical economics. It provides fundamental knowledge of directional derivatives and monotonicity required in understanding and solving variational inequality problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Fixed point theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical optimization. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Al-Mezel, Saleh Abdullah R., |
| Relator term |
editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Al-Solamy, Falleh Rajallah M., |
| Relator term |
editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Ansari, Qamrul Hasan, |
| Relator term |
editor. |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ecip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Project book |
