@NonlinearAnahYIs, Theon: Methods & Applications. Vol. 25, No. 12, pp. , ~2tElsevier Science Ltd -PergamonPrinted in Great Britain X(94) ON THE CONSTRUCTION OF METHODS OF LINES FOR FUNCTIONAL EVOLUTIONS IN GENERAL BANACH SPACES ATHANASSIOS G. KARTSATOS Department of Mathematics, University of South Florida, Tampa, FL Cited by: Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. This monograph delves specifically into the topic of the geometric properties of Banach spaces and nonlinear iterations, a subject of Brand: Springer-Verlag London. New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Leyden, Noordhoff International Publishing, , p, ISBN The book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equations associated with nonlinear dissipative of content: Preface to the first edition Preface to the English edition Chapter I. Preliminaries Metric.

This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. There is also an accompanying text on Real Analysis.. MSC: , 46E30, 47H10, 47H11, 58Exx, 76D05 Keywords: Functional Analysis, Banach space, Hilbert space, Mapping degree, fixed-point theorems, differential equations, Navier-Stokes equation. springer, Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: Develops classical theory, including weak topologies, locally. Get this from a library! Nonlinear differential equations of monotone types in Banach spaces. [Viorel Barbu;] -- This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications . Functional analysis Projection Constants of Some Topological Spaces. Nonlinear Analysis and Convex Analysis -I-Busan, Editors Banach and Function Spaces: Banach and Function Spaces IV kitakyushu Japan, Editors M. Kato, L. Maligranda, T. Suzuki.

In this paper the issue of existence of sliding motions for a class of control systems of parabolic type is considered. The operator satisfies standard hemicontinuity, monotonicity and coercivity assumptions; the control law is finite-dimensional and enters linearly in the equation. By using a Faedo-Galerkin approach, a family of finite-dimensional ODEs is constructed and an approximating Cited by: 6. $\begingroup$ if you are looking for fixed point theory you should look into the direction of non-linear functional analysis $\endgroup$ – Norbert Aug 17 '14 at $\begingroup$ I am studding geometry of Banach spaces and sometimes I like know applications of geometry of Banach spaces $\endgroup$ – user Aug 17 '14 at Lindenstrauss worked in various areas of functional analysis and geometry, particularly Banach space theory, finite- and infinite-dimensional convexity, geometric nonlinear functional analysis and geometric measure theory. He authored more than papers as well as several books in Banach space mater: Hebrew University of Jerusalem. Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory Under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications by Aref Jeribi, Bilel Krichen starting at $ Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory Under Weak Topology for Nonlinear Operators and Block Operator .