Common best proximity points for proximity commuting mapping with Geraghty’s functions. (English) Zbl 1389.54096
Summary: In this paper, we prove new common best proximity point theorems for proximity commuting mapping by using Geraghty’s theorem in complete metric spaces. Our results improve and extend recent result of S. S. Basha [J. Glob. Optim. 54, No. 2, 367–373 (2012; Zbl 1281.90058)] and some results in the literature.
MSC:
54H25 | Fixed-point and coincidence theorems (topological aspects) |
54E40 | Special maps on metric spaces |