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Best proximity points of implicit relation type modified α3-proximal contractions.
- Source :
-
Journal of Inequalities & Applications . Sep2014, Vol. 2014, p1-19. 19p. - Publication Year :
- 2014
-
Abstract
- In this paper, we introduce the concept of an α3-proximal admissible mappings and establish the existence of best proximity point theorems for implicit relation type modified α3-proximal contractions. As applications of our theorems, we derive some new best proximity point results for implicit relation type contractions whenever the range space is endowed with a graph or with a partial order. The obtained results generalize, extend, and modify some best proximity point results in the literature. Several interesting consequences of our theorems are also provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2014
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 102093048
- Full Text :
- https://doi.org/10.1186/1029-242X-2014-365