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Books on the topic 'Common fixed point theorem'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77437-4.

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Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33255-0.

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Zaslavski, Alexander J. Optimization on Solution Sets of Common Fixed Point Problems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78849-0.

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4

Zaslavski, Alexander J. The Krasnoselskii-Mann Method for Common Fixed Point Problems. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-85841-3.

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5

Cai, Zongxi. Deng zhou wen ti. Ke xue chu ban she, 2002.

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6

Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer, 2018.

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7

Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer London, Limited, 2016.

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8

Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer, 2016.

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9

Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer, 2018.

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10

Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer, 2019.

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11

Fixed Point Theorem. Creative Media Partners, LLC, 2018.

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12

Fixed Point Theorem. Creative Media Partners, LLC, 2023.

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13

Kyner, Walter T. A Fixed Point Theorem. Franklin Classics Trade Press, 2018.

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14

Kyner, Walter T. A Fixed Point Theorem. Franklin Classics Trade Press, 2018.

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15

A Fixed Point Theorem. Franklin Classics, 2018.

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16

Pllana, Duli. Reflection on Brouwer's Fixed Point Theorem. GRIN Verlag GmbH, 2018.

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17

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Fixed Point Buildings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0022.

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This chapter presents the proof for the Fundamental Theorem of Descent in buildings: that if Γ‎ is a descent group, the set of residues of a building Δ‎ that are stabilized by a subgroup Γ‎ of Aut(Γ‎) forms a thick building. It begins with the hypothesis: Let Π‎ be an arbitrary Coxeter diagram, let S be the vertex set of Π‎ and let (W, S) be the corresponding Coxeter system. It then defines a Γ‎-residue and a Γ‎-chamber as well as a descent group of Δ‎ before concluding with the main result about the fixed point building of Γ‎.

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18

Synchronicity, Causality, Complexity, and the Brouwer Fixed-Point Theorem. GRIN Verlag GmbH, 2018.

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19

Ann, David. Proof of Existence: The Pigeonhole Principle and Fixed-Point Theorem. General Onologic Soft Corp., 2024.

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20

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Affine Fixed Point Buildings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0027.

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This chapter shows that if Ξ‎ is an affine building and Γ‎ is a finite descent group of Ξ‎, then Γ‎ is a descent group of Ξ‎∞ and (Ξ‎∞) is congruent to (Ξ‎∞). Ξ‎Γ‎ and Ξ‎ can be viewed as metric spaces. The chapter first considers the assumptions that Π‎ is an irreducible affine Coxeter diagram, Ξ‎ is a thick building of type Ξ‎, Γ‎is a finite descent group of Ξ‎, and Tits index &#xD835;&#xDC13; = (Π‎, Θ‎, A). It then describes apartments that are endowed with reflection hyperplanes and reflection half-spaces before concluding with a theorem about a canonical isomorphism from the fixed

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21

Zaslavski, Alexander J. Optimization on Solution Sets of Common Fixed Point Problems. Springer International Publishing AG, 2021.

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22

Zaslavski, Alexander J. Optimization on Solution Sets of Common Fixed Point Problems. Springer International Publishing AG, 2022.

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23

Jackson, Patrick Thaddeus. What is Theory? Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190846626.013.361.

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The concept of theory takes part in a conceptual network occupied by some of the most common subjects of European Enlightenment, such as “science” and “reason.” Generally speaking, a theory is a rational type of abstract or generalizing thinking, or the results of such thinking. Theories drive the exercise of finding facts rather than of reaching goals. To formulate a theory, or to “theorize,” is to assert something of a privileged epistemic status, manifested in the traditional scholarly hierarchy between theorists and those who merely labor among the empirical weeds. In so doing, a theory pr

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24

Mann, Peter. Differential Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0035.

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This chapter presents the general formulation of the calculus of variations as applied to mechanics, relativity and field theories. The calculus of variations is a common mathematical technique used throughout classical mechanics. First developed by Euler to determine the shortest paths between fixed points along a surface, it was applied by Lagrange to mechanical problems in analytical mechanics. The variational problems in the chapter have been simplified for ease of understanding upon first introduction, in order to give a general mathematical framework. This chapter takes a relaxed approac

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25

Zinn-Justin, Jean. From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.001.0001.

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Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models and, in consequence, develops our understanding of the fundamental nature of the universe. This book offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic, and develops the discussion in a self-contained manner. At the same time, the selected topics have common themes running throughout the book, which connect the i

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26

Nolte, David D. Introduction to Modern Dynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198844624.001.0001.

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Introduction to Modern Dynamics: Chaos, Networks, Space and Time (2nd Edition) combines the topics of modern dynamics—chaos theory, dynamics on complex networks and the geometry of dynamical spaces—into a coherent framework. This text is divided into four parts: Geometric Mechanics, Nonlinear Dynamics, Complex Systems, and Relativity. These topics share a common and simple mathematical language that helps students gain a unified physical intuition. Geometric mechanics lays the foundation and sets the tone for the rest of the book by emphasizing dynamical spaces, like state space and phase spac

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27

Hutton, Alfred. Fixed Bayonets: A Complete System of Fence for the British Magazine Rifle, Explaining the Use of Point, Edges, and Butt, Both in Offence and Defence; ... Common to the Art of Fencing, With a Bib. Franklin Classics, 2018.

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28

Farb, Benson, and Dan Margalit. Thurston's Proof. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0016.

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This chapter describes Thurston's original path of discovery to the Nielsen–Thurston classification theorem. It first provides an example that illustrates much of the general theory, focusing on Thurston's iteration of homeomorphisms on simple closed curves as well as the linear algebra of train tracks. It then explains how the general theory works and presents Thurston's original proof of the Nielsen–Thurston classification. In particular, it considers the Teichmüller space and the measured foliation space. The chapter also discusses measured foliations on a pair of pants, global coordinates

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29

Hutton, Alfred. Fixed Bayonets: A Complete System of Fence for the British Magazine Rifle, Explaining the Use of Point, Edges, and Butt, Both in Offence and Defence; Comprising Also a Glossary of English, French, and Italian Terms Common to the Art of Fencing, with a Bib. Creative Media Partners, LLC, 2017.

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30

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Unramified Galois Involutions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0032.

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This chapter describes the fixed point building of an automorphism of a Bruhat-Tits building Ξ‎ which induces an unramified Galois involution on the building at infinity Ξ‎∞. An element of G (for example, a Galois involution of Δ‎) is unramified if the subgroup of G it generates is unramified. Before presenting the main result, the chapter presents the notation stating that Δ‎ = Ξ‎∞ is the building at infinity of Ξ‎ with respect to its complete system of apartments and G = Aut(Δ‎), followed by definitions. The central theorem shows how an unramified Galois involution of Δ‎ is obtained. Here Γ‎

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31

Tu, Loring W. Introductory Lectures on Equivariant Cohomology. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691191751.001.0001.

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Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah–Bott and Berline–Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group actio

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32

Burda, Zdzislaw, and Jerzy Jurkiewicz. Phase transitions. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.14.

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This article considers phase transitions in matrix models that are invariant under a symmetry group as well as those that occur in some matrix ensembles with preferred basis, like the Anderson transition. It first reviews the results for the simplest model with a nontrivial set of phases, the one-matrix Hermitian model with polynomial potential. It then presents a view of the several solutions of the saddle point equation. It also describes circular models and their Cayley transform to Hermitian models, along with fixed trace models. A brief overview of models with normal, chiral, Wishart, and

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33

Vickers, Tom. Borders, Migration and Class in an Age of Crisis. Policy Press, 2019. http://dx.doi.org/10.1332/policypress/9781529201819.001.0001.

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This book examines how borders structure the working class, shaping exploitation and resistance. The book uses the example of Britain to demonstrate the contemporary relevance of a Marxist approach and develop insights that have international relevance. In the wake of the 'Brexit referendum' and facing an uncertain future, debate rages as to whether immigration is good or bad for British society, in economic and cultural terms. Within the political mainstream, both sides in this debate share the assumptions that categories based on nationality, citizenship and country of origin are fixed, legi

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