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Common fixed point theorems in Menger spaces with common property (E.A). (English) Zbl 1207.54050
Summary: We introduce the notion of common property (E.A) in Menger spaces besides proving a result interrelating the property (E.A) with common property (E.A). Thereafter, using the common property (E.A), some common fixed point theorems are proved for self mappings in Menger spaces which include results involving quasi-contraction as well as \(\phi\)-type contraction. Our results generalize several known results in Menger as well as metric spaces. Some related results are also derived besides furnishing an illustrative example.

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