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Fixed point results for dominated mappings in rectangular b-metric spaces with applicationsopen access
- Issue Date
- 2020
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- fixed point; complete rectangular b-metric space; α-dominated mapping; Ćirić type rational contraction condition; partial order; ⪯-dominated mapping; graph dominated mapping
- Citation
- AIMS MATHEMATICS, v.5, no.5, pp.5221 - 5229
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 5
- Number
- 5
- Start Page
- 5221
- End Page
- 5229
- ISSN
- 2473-6988
- Abstract
- In this paper, we establish some fixed point results for alpha-dominated mappings fulfilling new generalized locally Ciric type rational contraction conditions in complete rectangular b-metric space. As an application, we establish the existence of fixed point of <=-dominated mappings in an ordered complete rectangular b-metric space. The notion of graph dominated mappings is introduced. Fixed point results with graphic contractions for such mappings are established.
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