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Chauhan, Sunny; Pant, B. D.

Some common fixed point theorems in Menger spaces. (English) Zbl 1285.54032

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 1, 57-69 (2013).
Summary: In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.

MSC:

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

Keywords:

Menger space; weakly compatible mappings; occasionally weakly compatible mappings; fixed point
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\textit{S. Chauhan} and \textit{B. D. Pant}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 1, 57--69 (2013; Zbl 1285.54032)
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References:

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