Handbook of Generalized Convexity and Generalized Monotonicity

Handbook of Generalized Convexity and Generalized Monotonicity PDF Author: Nicolas Hadjisavvas
Publisher: Springer Science & Business Media
ISBN: 0387233938
Category : Mathematics
Languages : en
Pages : 684

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Book Description
Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.

Handbook of Generalized Convexity and Generalized Monotonicity

Handbook of Generalized Convexity and Generalized Monotonicity PDF Author: Nicolas Hadjisavvas
Publisher: Springer Science & Business Media
ISBN: 0387233938
Category : Mathematics
Languages : en
Pages : 684

Get Book Here

Book Description
Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.

Generalized Convexity and Related Topics

Generalized Convexity and Related Topics PDF Author: Igor V. Konnov
Publisher: Springer Science & Business Media
ISBN: 3540370072
Category : Business & Economics
Languages : en
Pages : 465

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Book Description
The book contains invited papers by well-known experts on a wide range of topics (economics, variational analysis, probability etc.) closely related to convexity and generalized convexity, and refereed contributions of specialists from the world on current research on generalized convexity and applications, in particular, to optimization, economics and operations research.

Generalized Concavity

Generalized Concavity PDF Author: Mordecai Avriel
Publisher: SIAM
ISBN: 0898718961
Category : Mathematics
Languages : en
Pages : 342

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Book Description
Originally published: New York: Plenum Press, 1988.

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization PDF Author: Qamrul Hasan Ansari
Publisher: CRC Press
ISBN: 1439868212
Category : Business & Economics
Languages : en
Pages : 294

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Book Description
Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction.The first part of the book focuses on generalized convexity and generalized

Topics in Nonconvex Optimization

Topics in Nonconvex Optimization PDF Author: Shashi K. Mishra
Publisher: Springer Science & Business Media
ISBN: 1441996400
Category : Business & Economics
Languages : en
Pages : 276

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Book Description
Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Generalized Convexity

Generalized Convexity PDF Author: Sandor Komlosi
Publisher: Springer Science & Business Media
ISBN: 3642468020
Category : Business & Economics
Languages : en
Pages : 406

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Book Description
Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.

Generalized Convexity and Optimization

Generalized Convexity and Optimization PDF Author: Alberto Cambini
Publisher: Springer Science & Business Media
ISBN: 3540708766
Category : Mathematics
Languages : en
Pages : 252

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Book Description
The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.

Convexity from the Geometric Point of View

Convexity from the Geometric Point of View PDF Author: Vitor Balestro
Publisher: Springer Nature
ISBN: 3031505077
Category :
Languages : en
Pages : 1195

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Book Description


Current Research in Nonlinear Analysis

Current Research in Nonlinear Analysis PDF Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319898000
Category : Mathematics
Languages : en
Pages : 363

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Book Description
Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques utilized to solve significant problems. Topics include: Sobolev Spaces Maximal monotone operators A theorem of Brezis-Nirenberg Operator-norm convergence of the Trotter product formula Elliptic operators with infinitely many variables Pseudo-and quasiconvexities for nonsmooth function Anisotropic surface measures Eulerian and Lagrangian variables Multiple periodic solutions of Lagrangian systems Porous medium equation Nondiscrete Lassonde-Revalski principle Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg’s fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.

Optimality Conditions in Vector Optimization

Optimality Conditions in Vector Optimization PDF Author: Manuel Arana Jiménez
Publisher: Bentham Science Publishers
ISBN: 1608051102
Category : Mathematics
Languages : en
Pages : 194

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Book Description
Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the improvements in vector optimization in mathematical programming. The aim of this Ebook is to present the latest developments in vector optimization. The contributions have been written by some of the most eminent researchers in this field of mathematical programming. The Ebook is considered essential for researchers and students in this field.