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Dey, Debashis; Saha, Mantu

Common fixed point theorems in a complete 2-metric space. (English) Zbl 1285.54034

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 52, No. 1, 79-87 (2013).
Summary: In the present paper, we establish a common fixed point theorem for four self-mappings of a complete 2-metric space using the weak commutativity condition and \(A\)-contraction type condition and then extend the theorem for a class of mappings.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54E50 Complete metric spaces

Keywords:

fixed point; common fixed point; 2-metric space; completeness
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References:

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