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Bhatt, Arvind; Chandra, Harish; Sahu, D. R.

Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions. (English) Zbl 1227.47034

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 176-182 (2010).
The authors establish several common fixed point theorems for two maps and four maps without using the (E.A.) property and completeness, under a relaxed condition on \(d\), without using the the triangle inequality and assuming symmetry only on the set of points of coincidence. An application to dynamical programming is also given.
Reviewer: Long Wei (Jiangxi)

Cited in 5 Reviews
Cited in 18 Documents

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)

Keywords:

common fixed point; occasionally weakly compatible; triangle inequality
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\textit{A. Bhatt} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 176--182 (2010; Zbl 1227.47034)
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