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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-property; coupled coincidence point; coupled fixed point; coupled common fixed point; partially ordered set; mixed monotone mapping
- 제목
- Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces
- 저자
- Gopi, Raju; Pragadeeswarar, Veerasamy; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2020-00
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 5
- 호
- 6
- 페이지
- 6913 ~ 6928