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Ali, J.; Imdad, M.; Mihet, D.; Tanveer, M.

Common fixed points of strict contractions in Menger spaces. (English) Zbl 1249.54077

Acta Math. Hung. 132, No. 4, 367-386 (2011).
The main purpose of the authors is to prove some common fixed point theorems under strict contractive conditions for mappings satisfying a newly defined property in Menger spaces.
Section 1 is an introduction and preliminaries. Section 2 contains the main results. In Section 3 related results in metric spaces are exposed. The paper ends with interesting examples.
Reviewer: Vassil Angelov (Sofia)

Cited in 1 Review
Cited in 7 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E70 Probabilistic metric spaces
54E40 Special maps on metric spaces

Keywords:

Menger space; common property (E. A); weakly compatible mapping and \(t\)-norm
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\textit{J. Ali} et al., Acta Math. Hung. 132, No. 4, 367--386 (2011; Zbl 1249.54077)
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References:

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