[PDF] Iterative Approximation Of Fixed Points

Iterative Approximation of Fixed Points PDF
Author: Vasile Berinde
Publisher: Springer
ISBN: 3540722343
Size: 69.25 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 326
View: 3148

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Iterative Approximation Of Fixed Points

by Vasile Berinde, release date 2007-04-20, Iterative Approximation Of Fixed Points Books available in PDF, EPUB, Mobi Format. Download Iterative Approximation Of Fixed Points books, This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.




[PDF] Iterative Approximation Of Fixed Points In Hilbert Spaces

Iterative Approximation of Fixed Points in Hilbert Spaces PDF
Author: Iyiola Olaniyi
Publisher: LAP Lambert Academic Publishing
ISBN: 9783844306095
Size: 71.68 MB
Format: PDF
Category :
Languages : en
Pages : 72
View: 7722

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Iterative Approximation Of Fixed Points In Hilbert Spaces

by Iyiola Olaniyi, release date 2012-07, Iterative Approximation Of Fixed Points In Hilbert Spaces Books available in PDF, EPUB, Mobi Format. Download Iterative Approximation Of Fixed Points In Hilbert Spaces books, Functional Analysis, Fixed Points Theory and Iterative Schemes are key areas of research in Mathematics today. This work introduces the readers to introductory part of functional analysis, fixed points theory and some iterative schemes and applications in solving differential equations. It is interesting to see how the iterative schemes work in obtaining solutions to initial value problems. Several maps of interest are explained and their relationship given concrete examples to illustrate the idea. Much attention is given to a special class of problems in non-linear functional analysis namely: iterative approximation of k-strictly pseudo-contractive maps in Hilbert spaces using Modified Picard Iteration.




[PDF] Approximation Of Fixed Points By Mean Value Iterative Methods In Banach Spaces

Approximation of Fixed Points by Mean value Iterative Methods in Banach Spaces PDF
Author: Herman Frank Senter
Publisher:
ISBN:
Size: 13.57 MB
Format: PDF, Kindle
Category :
Languages : en
Pages : 138
View: 3709

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Approximation Of Fixed Points By Mean Value Iterative Methods In Banach Spaces

by Herman Frank Senter, release date 1973, Approximation Of Fixed Points By Mean Value Iterative Methods In Banach Spaces Books available in PDF, EPUB, Mobi Format. Download Approximation Of Fixed Points By Mean Value Iterative Methods In Banach Spaces books,




[PDF] Geometric Properties Of Banach Spaces And Nonlinear Iterations

Geometric Properties of Banach Spaces and Nonlinear Iterations PDF
Author: Charles Chidume
Publisher: Springer Science & Business Media
ISBN: 1848821891
Size: 47.80 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 326
View: 6276

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Geometric Properties Of Banach Spaces And Nonlinear Iterations

by Charles Chidume, release date 2009-03-27, Geometric Properties Of Banach Spaces And Nonlinear Iterations Books available in PDF, EPUB, Mobi Format. Download Geometric Properties Of Banach Spaces And Nonlinear Iterations books, The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.




[PDF] Fixed Point Theory For Lipschitzian Type Mappings With Applications

Fixed Point Theory for Lipschitzian type Mappings with Applications PDF
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 0387758186
Size: 11.45 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 368
View: 4906

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Fixed Point Theory For Lipschitzian Type Mappings With Applications

by Ravi P. Agarwal, release date 2009-06-12, Fixed Point Theory For Lipschitzian Type Mappings With Applications Books available in PDF, EPUB, Mobi Format. Download Fixed Point Theory For Lipschitzian Type Mappings With Applications books, In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.




[PDF] Mathematical Analysis Approximation Theory And Their Applications

Mathematical Analysis  Approximation Theory and Their Applications PDF
Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319312812
Size: 57.28 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 741
View: 5483

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Mathematical Analysis Approximation Theory And Their Applications

by Themistocles M. Rassias, release date 2016-06-03, Mathematical Analysis Approximation Theory And Their Applications Books available in PDF, EPUB, Mobi Format. Download Mathematical Analysis Approximation Theory And Their Applications books, Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.




[PDF] Fixed Point Theory And Graph Theory

Fixed Point Theory and Graph Theory PDF
Author: Monther Alfuraidan
Publisher: Academic Press
ISBN: 0128043652
Size: 20.53 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 442
View: 6730

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Fixed Point Theory And Graph Theory

by Monther Alfuraidan, release date 2016-06-20, Fixed Point Theory And Graph Theory Books available in PDF, EPUB, Mobi Format. Download Fixed Point Theory And Graph Theory books, Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets. Introduces both metric fixed point and graph theory in terms of their disparate foundations and common application environments Provides a unique integration of otherwise disparate domains that aids both students seeking to understand either area and researchers interested in establishing an integrated research approach Emphasizes solution methods for fixed points in non-linear problems such as variational inequalities, split feasibility, and hierarchical variational inequality problems that is particularly appropriate for engineering and core science applications




[PDF] Advances In Metric Fixed Point Theory And Applications

Advances in Metric Fixed Point Theory and Applications PDF
Author: Yeol Je Cho
Publisher: Springer Nature
ISBN: 9813366478
Size: 54.15 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 503
View: 4030

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Advances In Metric Fixed Point Theory And Applications

by Yeol Je Cho, release date 2021-06-05, Advances In Metric Fixed Point Theory And Applications Books available in PDF, EPUB, Mobi Format. Download Advances In Metric Fixed Point Theory And Applications books, This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(κ) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.




[PDF] Fixed Point Theory And Applications

Fixed Point Theory and Applications PDF
Author: Yeol Je Cho
Publisher: Nova Publishers
ISBN: 9781594548734
Size: 41.57 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 207
View: 3813

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Fixed Point Theory And Applications

by Yeol Je Cho, release date 2007, Fixed Point Theory And Applications Books available in PDF, EPUB, Mobi Format. Download Fixed Point Theory And Applications books, Fixed Point Theory & Applications




[PDF] Some Iterative Methods For Approximation Of Fixed Points And Solution Of Functional Equations In Banach Spaces

Some Iterative Methods for Approximation of Fixed Points and Solution of Functional Equations in Banach Spaces PDF
Author: William Grady Dotson
Publisher:
ISBN:
Size: 63.10 MB
Format: PDF, Kindle
Category : Banach spaces
Languages : en
Pages : 166
View: 791

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Some Iterative Methods For Approximation Of Fixed Points And Solution Of Functional Equations In Banach Spaces

by William Grady Dotson, release date 1968, Some Iterative Methods For Approximation Of Fixed Points And Solution Of Functional Equations In Banach Spaces Books available in PDF, EPUB, Mobi Format. Download Some Iterative Methods For Approximation Of Fixed Points And Solution Of Functional Equations In Banach Spaces books,