國立虎尾科技大學 |

Fixed Point Theory in Metric Spaces = Recent Advances and Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fixed Point Theory in Metric Spaces/ by Praveen Agarwal, Mohamed Jleli, Bessem Samet.
Reminder of title:	Recent Advances and Applications /
Author:	Agarwal, Praveen.
other author:	Jleli, Mohamed.
Description:	XI, 166 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-981-13-2913-5
ISBN:	9789811329135

Fixed Point Theory in Metric Spaces = Recent Advances and Applications /
Agarwal, Praveen.

Fixed Point Theory in Metric SpacesRecent Advances and Applications /[electronic resource] :by Praveen Agarwal, Mohamed Jleli, Bessem Samet. - 1st ed. 2018. - XI, 166 p. 2 illus.online resource.

Banach Contraction Principle and Applications -- On Ran-Reurings Fixed Point Theorem -- On a-y Contractive Mappings and Related Fixed Point Theorems -- Cyclic Contractions: An Improvement Result -- On JS-Contraction Mappings in Branciari Metric Spaces -- An Implicit Contraction on a Set Equipped with Two Metrics -- On Fixed Points that Belong to the Zero Set of a Certain Function -- A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints -- The Study of Fixed Points in JS-Metric Spaces -- Iterated Bernstein Polynomial Approximations.

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.

ISBN: 9789811329135

Standard No.: 10.1007/978-981-13-2913-5doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Fixed Point Theory in Metric Spaces = Recent Advances and Applications /
LDR:03413nam a22003975i 4500 001 989107
003 DE-He213
005 20200701035814.0
007 cr nn 008mamaa
008 201225s2018 si | s |||| 0|eng d
020 $a 9789811329135 $9 978-981-13-2913-5
024 7 $a 10.1007/978-981-13-2913-5 $2 doi
035 $a 978-981-13-2913-5
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Agarwal, Praveen. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1210535
245 1 0 $a Fixed Point Theory in Metric Spaces $h [electronic resource] : $b Recent Advances and Applications / $c by Praveen Agarwal, Mohamed Jleli, Bessem Samet.
250 $a 1st ed. 2018.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a XI, 166 p. 2 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Banach Contraction Principle and Applications -- On Ran-Reurings Fixed Point Theorem -- On a-y Contractive Mappings and Related Fixed Point Theorems -- Cyclic Contractions: An Improvement Result -- On JS-Contraction Mappings in Branciari Metric Spaces -- An Implicit Contraction on a Set Equipped with Two Metrics -- On Fixed Points that Belong to the Zero Set of a Certain Function -- A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints -- The Study of Fixed Points in JS-Metric Spaces -- Iterated Bernstein Polynomial Approximations.
520 $a This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.
650 0 $a Functional analysis. $3 527706
650 0 $a Harmonic analysis. $3 672073
650 0 $a Difference equations. $3 527665
650 0 $a Functional equations. $3 527838
650 0 $a Operator theory. $3 527910
650 0 $a Integral equations. $3 527971
650 1 4 $a Functional Analysis. $3 672166
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Difference and Functional Equations. $3 672077
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Integral Equations. $3 672359
700 1 $a Jleli, Mohamed. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1210536
700 1 $a Samet, Bessem. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1210537
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811329128
776 0 8 $i Printed edition: $z 9789811329142
776 0 8 $i Printed edition: $z 9789811348112
856 4 0 $u https://doi.org/10.1007/978-981-13-2913-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)