Common fixed point theorems in Menger probabilistic quasimetric spaces. (English) Zbl 1171.54035
A common fixed point theorem for three mappings in a complete Menger probabilistic quasi-metric space under a continuous t-norm \(T\) satisfying the condition
\[ \lim \limits_{n\rightarrow \infty}T_{i=n}^{\infty}(1-a^i(t))=1, \]
where \(a\) is a mapping from \(\mathbb{R}_+\) to \((0,1)\) is proved.
\[ \lim \limits_{n\rightarrow \infty}T_{i=n}^{\infty}(1-a^i(t))=1, \]
where \(a\) is a mapping from \(\mathbb{R}_+\) to \((0,1)\) is proved.
Reviewer: Dorel Miheţ (Timişoara)
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E70 | Probabilistic metric spaces |
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