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010   $a3-319-14051-5
024 7 $a10.1007/978-3-319-14051-3
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100   $a20150324d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFixed Point Theory in Modular Function Spaces /$fby Mohamed A. Khamsi, Wojciech M. Kozlowski
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (251 p.)
300   $aDescription based upon print version of record.
311   $a3-319-14050-7 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Fixed Point Theory in Metric Spaces: An Introduction -- Modular Function Spaces -- Geometry of Modular Function Spaces -- Fixed Point Existence Theorems in Modular Function Spaces -- Fixed Point Construction Processes -- Semigroups of Nonlinear Mappings in Modular Function Spaces -- Modular Metric Spaces.
330   $aThis monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable.   The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.
606   $aOperator theory
606   $aFunctional analysis
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
615  0$aOperator theory.
615  0$aFunctional analysis.
615 14$aOperator Theory.
615 24$aFunctional Analysis.
676   $a510
700   $aKhamsi$b Mohamed A$4aut$4http://id.loc.gov/vocabulary/relators/aut$059488
702   $aKozlowski$b Wojciech M$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910299773903321
996   $aFixed Point Theory in Modular Function Spaces$92499092
997   $aUNINA