001443955 000__ 03983cam\a2200505Ia\4500
001443955 001__ 1443955
001443955 003__ OCoLC
001443955 005__ 20230310003644.0
001443955 006__ m\\\\\o\\d\\\\\\\\
001443955 007__ cr\un\nnnunnun
001443955 008__ 220127s2022\\\\sz\\\\\\ob\\\\001\0\eng\d
001443955 019__ $$a1293932146$$a1294113566$$a1294138696$$a1294217387$$a1294286932
001443955 020__ $$a9783030922047$$q(electronic bk.)
001443955 020__ $$a3030922049$$q(electronic bk.)
001443955 020__ $$z3030922030
001443955 020__ $$z9783030922030
001443955 0247_ $$a10.1007/978-3-030-92204-7$$2doi
001443955 035__ $$aSP(OCoLC)1293893207
001443955 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dOCLCO$$dSFB$$dUKAHL$$dOCLCQ
001443955 049__ $$aISEA
001443955 050_4 $$aQA329.9
001443955 08204 $$a515/.7248$$223
001443955 1001_ $$aBen Amar, Afif,$$eauthor.
001443955 24510 $$aTopology and approximate fixed points /$$cAfif Ben Amar, Donal O'Regan.
001443955 260__ $$aCham, Switzerland :$$bSpringer,$$c2022.
001443955 300__ $$a1 online resource
001443955 4901_ $$aDevelopments in mathematics,$$x2197-795X ;$$vvolume 71
001443955 504__ $$aIncludes bibliographical references and index.
001443955 5050_ $$aPreface -- Basic Concepts -- Almost Fixed Points -- Approximate Fixed Points in Ultrametric Spaces -- Synthetic Approaches to Problems of Fixed Points -- Approximate Fixed Theory in Topological Vector Spaces -- Bibliography.
001443955 506__ $$aAccess limited to authorized users.
001443955 520__ $$aThis book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory. This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces and fundamental properties of their topologies are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included are weak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak* topology of its dual, and the Fréchet-Urysohn property. The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies. By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed point theory.
001443955 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 3, 2022).
001443955 650_0 $$aFixed point theory.
001443955 650_6 $$aThéorème du point fixe.
001443955 655_7 $$aLlibres electrònics.$$2thub
001443955 655_0 $$aElectronic books.
001443955 7001_ $$aO'Regan, Donal,$$eauthor.
001443955 77608 $$iPrint version: $$z3030922030$$z9783030922030$$w(OCoLC)1281245641
001443955 830_0 $$aDevelopments in mathematics ;$$vv. 71.$$x2197-795X
001443955 852__ $$bebk
001443955 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-92204-7$$zOnline Access$$91397441.1
001443955 909CO $$ooai:library.usi.edu:1443955$$pGLOBAL_SET
001443955 980__ $$aBIB
001443955 980__ $$aEBOOK
001443955 982__ $$aEbook
001443955 983__ $$aOnline
001443955 994__ $$a92$$bISE