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010   $a3-319-24082-X
024 7 $a10.1007/978-3-319-24082-4
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035   $a(PQKBTitleCode)TC0001654046
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035   $a(DE-He213)978-3-319-24082-4
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035   $a(PPN)192773895
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100   $a20160324d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFixed point theory in metric type spaces /$fby Ravi P. Agarwal, Erdal KARAPINAR, Donal O?Regan, Antonio Francisco Roldán-López-de-Hierro
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (395 p.)
300   $aDescription based upon print version of record.
311   $a3-319-24080-3 
320   $aIncludes bibliographical references and index.
327   $aIntroduction with a Brief Historical Survey -- Preliminaries -- G-Metric Spaces -- Basic Fixed Point Results in the Setting of G-Metric Spaces -- Fixed Point Theorems in Partially Ordered G-Metric Spaces -- Further Fixed Point Results on G-Metric Spaces -- Fixed Point Theorems via Admissible Mappings -- New Approaches to Fixed Point Results on G-Metric Spaces -- Expansive Mappings -- Reconstruction of G-Metrics: G*-Metrics -- Multidimensional Fixed Point Theorems on G-Metric Spaces -- Recent Motivating Fixed Point Theory.
330   $aWritten by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
606   $aNumerical analysis
606   $aFunctions of real variables
606   $aFunctional analysis
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
615  0$aNumerical analysis.
615  0$aFunctions of real variables.
615  0$aFunctional analysis.
615 14$aNumerical Analysis.
615 24$aReal Functions.
615 24$aFunctional Analysis.
676   $a515.7
700   $aAgarwal$b Ravi P$4aut$4http://id.loc.gov/vocabulary/relators/aut$041786
702   $aKARAPINAR$b Erdal$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aO?Regan$b Donal$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aRoldán-López-de-Hierro$b Antonio Francisco$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300250003321
996   $aFixed Point Theory in Metric Type Spaces$92044179
997   $aUNINA