[PDF] Theory And Applications Of Nonlinear Operators Of Accretive And Monotone Type eBook

Author : Athanass Kartsatos
Publisher : CRC Press
Page : 338 pages
File Size : 45,96 MB
Release : 1996-03-14
Category : Mathematics
ISBN : 9780824797218

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This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

Author : Yakov Alber
Publisher : Springer
Page : 0 pages
File Size : 14,97 MB
Release : 2010-10-19
Category : Mathematics
ISBN : 9789048171224

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Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Author : Yu Qing Chen
Publisher : Nova Publishers
Page : 192 pages
File Size : 10,17 MB
Release : 2004
Category : Mathematics
ISBN : 9781594540677

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This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.

Author : Haiyun Zhou
Publisher : Walter de Gruyter GmbH & Co KG
Page : 377 pages
File Size : 19,85 MB
Release : 2020-06-08
Category : Mathematics
ISBN : 3110667096

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Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and monotone mappings in Hilbert Spaces are also discussed. It is an essential work for mathematicians and graduate students in nonlinear analysis.

Author : Sergiu Aizicovici
Publisher : American Mathematical Soc.
Page : 70 pages
File Size : 27,19 MB
Release : 2008
Category : Mathematics
ISBN : 9781470405212

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In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.

Author : Shih-sen Chang
Publisher : Nova Publishers
Page : 358 pages
File Size : 10,63 MB
Release : 2001
Category : Mathematics
ISBN : 9781560729808

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The purpose of this book is to give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces. This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces; Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces; Coincidence point theorems, minimisation and fixed degree theorems in probabilistic metric spaces; Probabilistic contractors, accretive mappings and topological degree in probabilistic normed spaces; Nonlinear semigroups and differential equations in probabilistic metric spaces; KKM theorems, minimax theorems and variational inequalities.

Author : Ralph Edwin Showalter
Publisher : Amer Mathematical Society
Page : 278 pages
File Size : 29,96 MB
Release : 1997
Category : Mathematics
ISBN : 9780821805008

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The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of eliptic or of parabolic type, degenerate cased with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin, or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models.

Author : Szilárd László
Publisher : LAP Lambert Academic Publishing
Page : 300 pages
File Size : 16,62 MB
Release : 2013
Category :
ISBN : 9783659497636

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The aim of this work is to present several new results concerning monotone operator theory, applications to injectivity theorems, convex functions and variational inequalities, and some applications of the duality to the theory of maximal monotone operators. We begin with the study under which circumstances the local (generalized) monotonicity property of an operator is equivalent to its global counterpart. We introduce two new concepts, the -monotonicity of operators and the -convexity of real valued functions, that contain in particular several monotonicity/convexity notions from the literature. We dedicate a whole chapter to the study of variational inequalities of Stampacchia and Minty type and we establish several coicidence, respectively fixed point results. The last part this work is devoted to the study of famous sum problems involving two maximal monotone operators. Based on stable strong duality and introducing some generalized infimal convolution formulas, we establish most of the important results obtained so far in the literature related to this problem."