Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph
Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. 2015, 8, 1005–1013) furnished the notion of rectangular b-metric pace (RBMS) by taking the place of the binary sum of triangula...
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MDPI AG
2019-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/10/884 |
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| author | Tahair Rasham Giuseppe Marino Abdullah Shoaib |
| author_facet | Tahair Rasham Giuseppe Marino Abdullah Shoaib |
| author_sort | Tahair Rasham |
| collection | DOAJ |
| description | Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. 2015, 8, 1005–1013) furnished the notion of rectangular b-metric pace (RBMS) by taking the place of the binary sum of triangular inequality in the definition of a b-metric space ternary sum and proved some results for Banach and Kannan contractions in such space. In this paper, we achieved fixed-point results for a pair of F-dominated mappings fulfilling a generalized rational F-dominated contractive condition in the better framework of complete rectangular b-metric spaces complete rectangular b-metric spaces. Some new fixed-point results with graphic contractions for a pair of graph-dominated mappings on rectangular b-metric space have been obtained. Some examples are given to illustrate our conclusions. New results in ordered spaces, partial b-metric space, dislocated metric space, dislocated b-metric space, partial metric space, b-metric space, rectangular metric spaces, and metric space can be obtained as corollaries of our results. |
| first_indexed | 2024-12-20T07:30:59Z |
| format | Article |
| id | doaj.art-4216e52cd2a44551bcf492cb87795367 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T07:30:59Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4216e52cd2a44551bcf492cb877953672022-12-21T19:48:25ZengMDPI AGMathematics2227-73902019-09-0171088410.3390/math7100884math7100884Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with GraphTahair Rasham0Giuseppe Marino1Abdullah Shoaib2Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanDipartimento di Matematica e Informatica, Universita della Calabria, 87036 Arcavacata di Rende (CS), ItalyDepartment of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanRecently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. 2015, 8, 1005–1013) furnished the notion of rectangular b-metric pace (RBMS) by taking the place of the binary sum of triangular inequality in the definition of a b-metric space ternary sum and proved some results for Banach and Kannan contractions in such space. In this paper, we achieved fixed-point results for a pair of F-dominated mappings fulfilling a generalized rational F-dominated contractive condition in the better framework of complete rectangular b-metric spaces complete rectangular b-metric spaces. Some new fixed-point results with graphic contractions for a pair of graph-dominated mappings on rectangular b-metric space have been obtained. Some examples are given to illustrate our conclusions. New results in ordered spaces, partial b-metric space, dislocated metric space, dislocated b-metric space, partial metric space, b-metric space, rectangular metric spaces, and metric space can be obtained as corollaries of our results.https://www.mdpi.com/2227-7390/7/10/884fixed pointgeneralized F-contractionα*-dominated mappinggraphic contractions |
| spellingShingle | Tahair Rasham Giuseppe Marino Abdullah Shoaib Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph Mathematics fixed point generalized F-contraction α*-dominated mapping graphic contractions |
| title | Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph |
| title_full | Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph |
| title_fullStr | Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph |
| title_full_unstemmed | Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph |
| title_short | Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph |
| title_sort | fixed points for a pair of f dominated contractive mappings in rectangular b metric spaces with graph |
| topic | fixed point generalized F-contraction α*-dominated mapping graphic contractions |
| url | https://www.mdpi.com/2227-7390/7/10/884 |
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