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Variational and monotonicity methods...

Costea, Nicusor.

Variational and monotonicity methods in nonsmooth analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Variational and monotonicity methods in nonsmooth analysisby Nicusor Costea, Alexandru Kristaly, Csaba Varga.
Author:	Costea, Nicusor.
other author:	Kristaly, Alexandru.
Published:	Cham :Springer International Publishing :2021.
Description:	xvi, 446 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonsmooth optimization.
Online resource:	https://doi.org/10.1007/978-3-030-81671-1
ISBN:	9783030816711$q(electronic bk.)

Variational and monotonicity methods in nonsmooth analysis
Costea, Nicusor.

Variational and monotonicity methods in nonsmooth analysis[electronic resource] /by Nicusor Costea, Alexandru Kristaly, Csaba Varga. - Cham :Springer International Publishing :2021. - xvi, 446 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature. The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics. The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.

ISBN: 9783030816711$q(electronic bk.)

Standard No.: 10.1007/978-3-030-81671-1doiSubjects--Topical Terms:

229311
Nonsmooth optimization.

LC Class. No.: QA402.5 / .C67 2021

Dewey Class. No.: 519.6

Variational and monotonicity methods in nonsmooth analysis
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520 $a This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature. The volume is organized in four parts. Part I contains fundamental mathematical results concerning convex and locally Lipschits functions. Together with the Appendices, this foundational part establishes the self-contained character of the text. As the title suggests, in the following sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors employ these methods to handle the exemplary problems from game theory and engineering that are investigated in Part II, respectively Part III. Part IV is devoted to applications in contact mechanics. The book will be of interest to PhD students and researchers in applied mathematics as well as specialists working in nonsmooth analysis and engineering.
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