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Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spacesopen access
- Issue Date
- 2020
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- p-property; coupled coincidence point; coupled fixed point; coupled common fixed point; partially ordered set; mixed monotone mapping
- Citation
- AIMS MATHEMATICS, v.5, no.6, pp.6913 - 6928
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 5
- Number
- 6
- Start Page
- 6913
- End Page
- 6928
- ISSN
- 2473-6988
- Abstract
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)