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Books on the topic 'Common fixed points'

Author: Grafiati

Published: 3 June 2025

Last updated: 6 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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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

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

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6

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

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7

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

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8

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

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9

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

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10

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

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11

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

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12

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 approach to explain how the Euler–Lagrange equation is derived using this method. It also discusses first integrals. The chapter closes by defining the functional derivative, which is used in classical field theory.

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13

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 independent discussions. The main themes—renormalization group, fixed points, universality and continuum limit—open and conclude the work. Other important and related themes are path integrals and field integrals, effective field theories, gauge theories, the mathematical structure at the basis of the interactions in fundamental particle physics, including quantization problems and anomalies, stochastic dynamical equations and summation of perturbative series.

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14

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 space, whose geometric properties define the set of all trajectories through those spaces. The section on nonlinear dynamics has chapters on chaos theory, synchronization, and networks. Chaos theory provides the language and tools to understand nonlinear systems, introducing fixed points that are classified through stability analysis and nullclines that shepherd system trajectories. Synchronization and networks are central paradigms in this book because they demonstrate how collective behavior emerges from the interactions of many individual nonlinear elements. The section on complex systems contains chapters on neural dynamics, evolutionary dynamics, and economic dynamics. The final section contains chapters on metric spaces and the special and general theories of relativity. In the second edition, sections on conventional topics, like applications of Lagrangians, have been strengthened, as well as being updated to provide a modern perspective. Several of the introductory chapters have been rearranged for improved logical flow and there are expanded homework problems at the end of each chapter.

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15

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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16

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, legitimate, and appropriate for assessing social change, measuring social benefit and harm, and allocating resources. Likewise, both sides of the debate limit their horizons to what is possible within the capitalist mode of production. Given the long history of migration to and from Britain, and the historically recent development of ideas of nation and citizenship, it is necessary to ask how and why borders and the divides they produce have become so deeply rooted and widely accepted, to the point that they appear as a ‘common sense’ division of humanity. Perhaps more importantly, what role do these ideas play in shaping responses to the crisis, and what are the alternatives?

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17

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 provides a fixed point upon which analysis can be founded and action can be performed. Scholar and author Kenneth W. Thompson describes a nexus of relations between and among three different senses of the word “theory:” normative theory, a “general theory of politics,” and the set of assumptions on the basis of which a given actor is acting. These three types of theory are somehow paralleled by Marysia Zalewski’s triad of theory as “tool,” theory as “critique,” and theory as “everyday practice.” While Thompson’s and Zalewski’s interpretations of theory are each inherently consistent, both signal a different philosophical ontology. Thompson’s viewpoint is dualist, presuming the existence of a mind-independent world to which knowledge refers; while Zalewski’s is more of a monist, rejecting the mind/world dichotomy in favor of a more complex interrelationship between observers and their objects of study.

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18

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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19

Revesz, Richard, and Jack Lienke. Struggling for Air. Oxford University Press, 2016. http://dx.doi.org/10.1093/oso/9780190233112.001.0001.

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Since the beginning of the Obama Administration, conservative politicians have railed against the President's "War on Coal." As evidence of this supposed siege, they point to a series of rules issued by the Environmental Protection Agency that aim to slash air pollution from the nation's power sector . Because coal produces far more pollution than any other major energy source, these rules are expected to further reduce its already shrinking share of the electricity market in favor of cleaner options like natural gas and solar power. But the EPA's policies are hardly the "unprecedented regulatory assault " that opponents make them out to be. Instead, they are merely the latest chapter in a multi-decade struggle to overcome a tragic flaw in our nation's most important environmental law. In 1970, Congress passed the Clean Air Act, which had the remarkably ambitious goal of eliminating essentially all air pollution that posed a threat to public health or welfare. But there was a problem: for some of the most common pollutants, Congress empowered the EPA to set emission limits only for newly constructed industrial facilities, most notably power plants. Existing plants, by contrast, would be largely exempt from direct federal regulation-a regulatory practice known as "grandfathering." What lawmakers didn't anticipate was that imposing costly requirements on new plants while giving existing ones a pass would simply encourage those old plants to stay in business much longer than originally planned. Since 1970, the core problems of U.S. environmental policy have flowed inexorably from the smokestacks of these coal-fired clunkers, which continue to pollute at far higher rates than their younger peers. In Struggling for Air, Richard L. Revesz and Jack Lienke chronicle the political compromises that gave rise to grandfathering, its deadly consequences, and the repeated attempts-by presidential administrations of both parties-to make things right.

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