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Fixed point results for dominated mappings in rectangular b-metric spaces with applicationsopen access

Authors
Shoaib, AbdullahRasham, TahairMarino, GiuseppeLee, Jung RyePark, Choonkil
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
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146509
DOI
10.3934/math.2020335
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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