NDLI: Fixed point results for generalized F-contractive and Roger Hardy type F-contractive mappings in G-metric spaces

Please wait, while we are loading the content...

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111, Issue 4, October 2017

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111, Issue 3, July 2017

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111, Issue 2, April 2017

Rational surfaces with finitely generated Cox rings and very high Picard numbers

Some new fixed point theorems under $$(\mathcal {A},\mathcal {S})$$ -contractivity conditions

Global stability of a third-order nonlinear system of difference equations with period-two coefficients

A note on Young’s inequality

The well adapted connection of a $$(J^{2}=\pm 1)$$ -metric manifold

An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group

Implicit relations related to ordered orbitally complete metric spaces and applications

Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function

On degenerate Bell numbers and polynomials

Conformal regular spacelike hypersurfaces in a conformal space $$\mathbb {Q}^{n+1}_1$$

A note on the concept of factorable strongly p-summing operators

Fixed point results for generalized F-contractive and Roger Hardy type F-contractive mappings in G-metric spaces

Some fixed point theorems for multivalued mappings in metric spaces

On a theorem of D. P. Baturov

Remark on convergence rate for weighted sums of $$\rho ^*$$ -mixing random variables

Existence of weak solutions for a fractional p-Laplacian equation in $$\mathbb R^N$$

Common solution of Urysohn integral equations with the help of common fixed point results in complex valued metric spaces

Inaudibility of sixth order curvature invariants

Free locally convex spaces with a small base

Differential equations in classical sequence spaces

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 111, Issue 1, January 2017

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 110

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 109

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 108

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 107

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 106

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 105

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 104

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 103

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas : Volume 102

Fixed point results for generalized F-contractive and Roger Hardy type F-contractive mappings in G-metric spaces

Content Provider	Springer Nature Link
Author	Singh, Deepak Joshi, Vishal Kumam, Poom Singh, Naval
Copyright Year	2016
Abstract	Very recently, Piri and Kumam (Fixed Point Theory Appl 210:11, 2014) improved the concept of F-contraction due to Wardowski (Fixed Point Theory Appl, 2012) by invoking some weaker conditions on mapping F and established some fixed point results in metric spaces. The purpose of this paper is twofold. Firstly, acknowledging the aforesaid idea of Piri and Kumam, a new generalized F-contraction in the framework of G-metric spaces is defined and by emphasizing the role of generalized F-contraction, a fixed point theorem in the structure of G-metric spaces is proved. Secondly, in the setting of G-metric spaces, Roger Hardy type F-contractive mappings are also defined and employing this, certain fixed point results are presented. Recently, Samet et al. (Int J Anal, 2013) and Jleli et al. (Fixed Point Theory Appl 210:7, 2012) observed that the most of the fixed point results in the structure of G-metric spaces can be obtained from existing literature on usual metric space. Countering this, our aforementioned results in the setting of G-metric spaces cannot be concluded from the existence work in the milieu of associated metric spaces. Our findings are also authenticated with the aid of some appropriate examples.
Starting Page	473
Ending Page	487
Page Count	15
File Format	PDF
ISSN	15787303
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Volume Number	111
Issue Number	2
e-ISSN	15791505
Language	English
Publisher	Springer Milan
Publisher Date	2016-05-25
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Generalized F-Contraction G-metric spaces Cauchy sequence Fixed point Roger Hardy type contraction condition Fixed-point theorems Fixed-point and coincidence theorems Mathematics Applications of Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Algebra and Number Theory Analysis Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Last remarks on G-metric spaces and related fixed point theorems

Fixed point theorems in new generalized metric spaces

Common fixed point theorems for contractive type mappings in fuzzy metric spaces

Fixed points of Ćirić-Matkowski-type contractions in $$\nu $$ -generalized metric spaces

Fixed points and Cauchy sequences in semimetric spaces

Fixed point theorems via generalized $$\varvec{F}$$ -contractions with applications to functional equations occurring in dynamic programming

Fixed point results for generalized cyclic contraction mappings in partial metric spaces

Fixed point theorems for $$\alpha $$ -integral type G-contraction mappings

Fixed point theorems for generalized Roger Hardy type F-contraction mappings in a metric-like space with an application to second-order differential equations

Fixed point results for generalized F-contractive and Roger Hardy type F-contractive mappings in G-metric spaces

Similar Documents

Last remarks on G-metric spaces and related fixed point theorems

Fixed point theorems in new generalized metric spaces

Common fixed point theorems for contractive type mappings in fuzzy metric spaces

Fixed points of Ćirić-Matkowski-type contractions in $$\nu $$ -generalized metric spaces

Fixed points and Cauchy sequences in semimetric spaces

Fixed point theorems via generalized $$\varvec{F}$$ -contractions with applications to functional equations occurring in dynamic programming

Fixed point results for generalized cyclic contraction mappings in partial metric spaces

Fixed point theorems for $$\alpha $$ -integral type G-contraction mappings

Fixed point theorems for generalized Roger Hardy type F-contraction mappings in a metric-like space with an application to second-order differential equations

Fixed point results for generalized F-contractive and Roger Hardy type F-contractive mappings in G-metric spaces