An introduction to metric spaces and fixed point theory [[electronic resource] /] / Mohamed A. Khamsi, William A. Kirk

• Record Nr.: UNINA9910139576003321
• Autore: Khamsi Mohamed A
• Pubbl/distr/stampa: New York, : John Wiley, c2001
• ISBN: 1-283-30626-3; 9786613306265; 1-118-03307-8; 1-118-03132-6
• Descrizione fisica: 1 online resource (318 p.)
• Collana: Pure and applied mathematics
• Altri autori (Persone): KirkW. A
• Disciplina: 514; 514.32; 514/.32
• Soggetti: Fixed point theory; Metric spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 289-299) and index.
• Nota di contenuto: An Introduction to Metric Spaces and Fixed Point Theory; Contents; Preface; I Metric Spaces; 1 Introduction; 1.1 The real numbers R; 1.2 Continuous mappings in R; 1.3 The triangle inequality in R; 1.4 The triangle inequality in Rn; 1.5 Brouwer's Fixed Point Theorem; Exercises; 2 Metric Spaces; 2.1 The metric topology; 2.2 Examples of metric spaces; 2.3 Completeness; 2.4 Separability and connectedness; 2.5 Metric convexity and convexity structures; Exercises; 3 Metric Contraction Principles; 3.1 Banach's Contraction Principle; 3.2 Further extensions of Banach's Principle; 3.3 The Caristi-Ekeland Principle3.4 Equivalents of the Caristi-Ekeland Principle; 3.5 Set-valued contractions; 3.6 Generalized contractions; Exercises; 4 Hyperconvex Spaces; 4.1 Introduction; 4.2 Hyperconvexity; 4.3 Properties of hyperconvex spaces; 4.4 A fixed point theorem; 4.5 Intersections of hyperconvex spaces; 4.6 Approximate fixed points; 4.7 Isbell's hyperconvex hull; Exercises; 5 ""Normal"" Structures in Metric Spaces; 5.1 A fixed point theorem; 5.2 Structure of the fixed point set; 5.3 Uniform normal structure; 5.4 Uniform relative normal structure; ; 5.5 Quasi-normal structure; 5.6 Stability and normal structure5.7 Ultrametric spaces; 5.8 Fixed point set structure-separable case; Exercises; II Banach Spaces; 6 Banach Spaces: Introduction; 6.1 The definition; 6.2 Convexity; 6.3 l2 revisited; 6.4 The modulus of convexity; 6.5 Uniform convexity of the lp spaces; 6.6 The dual space: Hahn-Banach Theorem; 6.7 The weak and weak* topologies; 6.8 The spaces c, c0, l1 and l(infinity); 6.9 Some more general facts; 6.10 The Schur property and l1; 6.11 More on Schauder bases in Banach spaces; 6.12 Uniform convexity and reflexivity; 6.13 Banach lattices; Exercises; 7 Continuous Mappings in Banach Spaces7.1 Introduction; 7.2 Brouwer's Theorem; 7.3 Further comments on Brouwer's Theorem; 7.4 Schauder's Theorem; 7.5 Stability of Schauder's Theorem; 7.6 Banach algebras: Stone Weierstrass Theorem; 7.7 Leray-Schauder degree; 7.8 Condensing mappings; 7.9 Continuous mappings in hyperconvex spaces; Exercises; 8 Metric Fixed Point Theory; 8.1 Contraction mappings; 8.2 Basic theorems for nonexpansive mappings; 8.3 A closer look at l1; 8.4 Stability results in arbitrary spaces; 8.5 The Goebel-Karlovitz Lemma; 8.6 Orthogonal convexity; 8.7 Structure of the fixed point set8.8 Asymptotically regular mappings; 8.9 Set-valued mappings; 8.10 Fixed point theory in Banach lattices; Exercises; 9 Banach Space Ultrapowers; 9.1 Finite representability; 9.2 Convergence of ultranets; 9.3 The Banach space ultrapower X; 9.4 Some properties of X; 9.5 Extending mappings to X; 9.6 Some fixed point theorems; 9.7 Asymptotically nonexpansive mappings; 9.8 The demiclosedness principle; 9.9 Uniformly non-creasy spaces; Exercises; Appendix: Set Theory; A.1 Mappings; A.2 Order relations and Zermelo's Theorem; A.3 Zorn's Lemma and the Axiom Of Choice
• Sommario/riassunto: Presents up-to-date Banach space results.* Features an extensive bibliography for outside reading.* Provides detailed exercises that elucidate more introductory material.

Courting conflict : the Israeli military court system in the West Bank and Gaza / / Lisa Hajjar

• Record Nr.: UNINA9911098927603321
• Autore: Hajjar Lisa <1961->
• Pubbl/distr/stampa: Berkeley, : University of California Press, c2005
• ISBN: 9786612357893; 9781597345569; 1597345563; 9781282357891; 1282357891; 9780520937987; 0520937988
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (337 p.)
• Disciplina: 343.5695/30143
• Soggetti: Military courts - West Bank; Military courts - Gaza Strip; War and emergency powers - Israel; Rule of law - Israel; Palestinian Arabs - Civil rights; Israel-Arab War, 1967 - Occupied territories
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: A political geography of law and conflict -- Legal discourses and the conflict in Israel/Palestine -- Going to court -- The face and arms of military justice -- The politics of language -- Cause lawyering and national conflict -- Political subjects, legal objects -- A suq of deals.
• Sommario/riassunto: Israel's military court system, a centerpiece of Israel's apparatus of control in the West Bank and Gaza since 1967, has prosecuted hundreds of thousands of Palestinians. This authoritative book provides a rare look at an institution that lies both figuratively and literally at the center of the Israeli-Palestinian conflict. Lisa Hajjar has conducted in-depth interviews with dozens of Israelis and Palestinians-including judges, prosecutors, defense lawyers, defendants, and translators-; about their experiences and practices to explain how this system functions, and how its functioning has affected the conflict. Her lucid, richly detailed, and theoretically sophisticated study highlights the array of problems and debates that characterize Israel's military courts as it asks how the law is deployed to protect and further the interests of the Israeli state and how it has been used to articulate and defend the rights of Palestinians living under occupation.