3 edition of The fixed point index and fixed point theorems for K-set-contractions found in the catalog.
The fixed point index and fixed point theorems for K-set-contractions
Roger D. Nussbaum
Written in English
|LC Classifications||Microfilm 26123|
|The Physical Object|
|Pagination||iii, 125 p.|
|Number of Pages||125|
|LC Control Number||94895267|
In order to construct a theory of the fixed point index in a context similar to that in which Lefschetz had proved his fixed point theorem in , F. E. Brow- der, in his unpublished Princeton University PhD thesis written under Lefschetz and Hurewicz , constructs in a fixed point index for compact ANR's, using as a basic tool Leray's. MSC MSC The following mathematics subject classification, MSC, is the revision of for both users and classifiers to familiarize themselves with the entire classification the Mathematics Subject Classification (MSC), which is the classification that system and thus to become aware of all the classifications of possible interest to has been used by the two reviewing journals.
MSC Final Public Version [Oct. ] MSC This document is a printed form the Final Public Version of MSC produced jointly by the editorial stas of Mathematical Reviews (MR) and Zentralblatt f ur Mathematik (Zbl) in consultation with the mathematical community. The goals of this revision of the Mathematics Subject Classication (MSC) were set out in the announcement of it and call. (* Content-type: application/atica *) (*** Wolfram Notebook File ***) (* *) (* CreatedBy='Mathematica ' *) (*CacheID.
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R.D. Nussbaum, The fixed point index and asymptotic fixed point theorems for k-set-contractions, Bull. Amer. Math. Soc. 75 (), – MathSciNet CrossRef zbMATH Google Scholar Cited by: This paper gives the definition of the fixed-point index of 1-set-contraction mappings and the concept of semiclosed 1-set-contraction mappings; then we obtain some fixed-point theorems about it.
View. We now consider a fixed point theorem for a k-set contraction in a complete metric space, which need not be a compact map. Theorem 2. Let (M, d) be a complete metric space, and X a nonempty bounded subadmissible subset of M. If T ∈ KKM (X, X) is a k-set contraction, 0 Author: Chi-Ming Chen.
In particular, the fixed point theorems cf the sum of a phi(1)-concave operator and a phi(2)-convex operator are obtained, our tools are based on the properties of cones and the fixed point. The fixed point index and fixed point theorems for k-set-contractions, Univ.
of Chicago, Ph. Thesis, Petryshyn, W. V., Construction of fixed points of Cited by: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATI () Fixed Point Theorems for k-Set-Contractions and Pseudocontractive Mappings JUAN A.
GATICA Universidad de Concepci, Concepci, Chile Submitted by Ky Fan 1. INTRODUCTION Let X be a Cited by: 3.
Roger David Nussbaum (born 29 January in Philadelphia) is an American mathematician, specializing in nonlinear functional analysis and differential equations.
Nussbaum graduated in with a bachelor's degree from Harvard received his Ph.D. in from the University of Chicago with thesis The Fixed Point Index and Fixed Point Theorems for K-Set Contractions supervised Authority control: GND:ISNI:. This paper gives a survey over some of the most important methods and results of nonlinear functional analysis in ordered Banach spaces.
By means of iterative techniques and by using topological tools, fixed point theorems for completely continuous maps in ordered Banach spaces are deduced, and particular attention is paid to the derivation of multiplicity by: Roger D. Nussbaum has written: 'Iterated nonlinear maps and Hilbert's projective metric, II' -- subject(s): Nonlinear operators, Mappings (Mathematics), Ordered topological spaces 'The fixed point.
Nashed and J. Wong, Some varaints of a fixed point theorem of Krasnoselskii and applications to nonlinear integral equations, J. Math. Mech. 18 (), – MR  Roger D. Nussbaum, Estimates for the number of solutions of operator equations, Applicable Anal.
In addition to classical fixed point theorems of Schauder, Leray and Schauder, Rothe, Kransnoselsky, Altman, and others for T compact, Theorem 1 includes as special cases the earlier theorem of Darbo as well as the more recent theorems of Sadovsky, Nussbaum, Petryshyn, and others (see §1 for further contributions and details) for T k-set.
This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems.
It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and.
In Sections 2 and 3 of this paper we refine and generalize theorems of Nussbaum (see ) concerning the approximate fixed point index and the fixed point index class.
In Section 4 we indicate how these results imply a wide variety of asymptotic fixed point theorems. In Section 5 we prove a generalization of the mod p theorem: if p is a prime number, f belongs to the fixed point index class.
Kirk, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (), MR 32 #Non expansive mappings and the weak closure of iterates, Duke Math.
36 (), MR 40 # 1 8 3 1.Fixed point theorems for non-expansive mappings, Proe. Sympos. “The book will undoubtedly be useful to all specialists and beginners in nonlinear analysis as a rich reference book and well as a source of new problems and ideas.” Fixed Point Theorems and Their Applications.
The Theory of Multiple Zeta Values with Applications in. Please read our short guide how to send a book to Kindle. Save for later. hirz. it might be an official tex copy of De Gruyter Series in Nonlinear Analysis and Applications 8.
14 January () Post a Review You can write a book review and share your experiences. This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications.
Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be. 37C Fixed points, periodic points, fixed-point index theory; 37C Periodic orbits of vector fields and flows; 37C Homoclinic and heteroclinic orbits; 37C Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems; 37C Orbit growth; 37C Smooth ergodic theory, invariant.
This banner text can have markup. web; books; video; audio; software; images; Toggle navigation. Fixed Point Theory and Applications This book provides a clear exposition of the ﬂourishing ﬁeld of ﬁxed point theory. Starting from the basics of Banach’s contraction theorem, most of the main results and techniques are developed: ﬁxed point results are established for several classes of maps and the three main approaches to.
The principal contribution is meant to be the one including the most important part of the work actually done in the item. For example, a paper whose main overall content is the solution of a problem in graph theory, which arose in computer science and whose solution is (perhaps) at present only of interest to computer scientists, would have a primary classification in 05C (Graph Theory) with.W refer the reader to van Dulst's book  for a comprehensive discussion on this topic.
Super" Presses Univ, Mon- trt1al, [FP] p, M. FITZPATRICK AND W, V, PETRYSHYN, Fixed point theorems and the fixed point index for multivalued mappings in cones, J, London Math, Soc, (2) 12 (),Topological.[De Gruyter Series in Nonlinear Analysis and Applications 10] Jurgen Appell Espedito De Pascale Alfonso Vignoli - Nonlinear spectral theory ( Walter de Gruyter).pdf.