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

Title
Fixed point results for dominated mappings in rectangular b-metric spaces with applications
Author
박춘길
Keywords
fixed point; complete rectangular b-metric space; α-dominated mapping; Ciric type rational contraction condition; partial order; <=-dominated mapping; graph dominated mapping
Issue Date
2020-06
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Citation
AIMS MATHEMATICS, v. 5, no. 5, page. 5221-5229
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.
URI
https://www.aimspress.com/article/id/5265https://repository.hanyang.ac.kr/handle/20.500.11754/167414
ISSN
2473-6988
DOI
10.3934/math.2020335
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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