Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces

  • Gopi, Raju
  • Pragadeeswarar, Veerasamy
  • Park, Choonkil
  • Shin, Dong Yun
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초록

In this paper, we first introduce the concept of mixed gamma-proximally monotone property type mappings and investigate the existence of the coupled proximally coincidence point for such mappings in partially ordered complete metric spaces. Furthermore, we prove the existence and uniqueness of coupled common best proximity points. Our results extend, improve and generalize several known results in the literature.

키워드

p-propertycoupled coincidence pointcoupled fixed pointcoupled common fixed pointpartially ordered setmixed monotone mapping
제목
Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces
저자
Gopi, RajuPragadeeswarar, VeerasamyPark, ChoonkilShin, Dong Yun
DOI
10.3934/math.2020443
발행일
2020-00
유형
Article
저널명
AIMS MATHEMATICS
5
6
페이지
6913 ~ 6928

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