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

  • Shoaib, Abdullah
  • Rasham, Tahair
  • Marino, Giuseppe
  • Lee, Jung Rye
  • Park, Choonkil
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초록

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.

키워드

fixed pointcomplete rectangular b-metric spaceα-dominated mappingĆirić type rational contraction conditionpartial order⪯-dominated mappinggraph dominated mapping
제목
Fixed point results for dominated mappings in rectangular b-metric spaces with applications
저자
Shoaib, AbdullahRasham, TahairMarino, GiuseppeLee, Jung RyePark, Choonkil
DOI
10.3934/math.2020335
발행일
2020-00
유형
Article
저널명
AIMS MATHEMATICS
5
5
페이지
5221 ~ 5229

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