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- Title
Best proximity point theorems for G-proximal weak contractions in complete metric spaces endowed with graphs.
- Authors
KLANARONG, CHALONGCHAI; SUANTAI, SUTHEP
- Abstract
In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the literatures. As a special case of the main results, the best proximity point theorems on partially ordered sets are obtained.
- Subjects
FIXED point theory; METRIC spaces; PROXIMITY spaces; PARTIALLY ordered sets; LEAST fixed point (Mathematics)
- Publication
Carpathian Journal of Mathematics, 2018, Vol 34, Issue 1, p65
- ISSN
1584-2851
- Publication type
Article
- DOI
10.37193/cjm.2018.01.07