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Weakly Picard mappings. (English) Zbl 0787.54045
Summary: We generalize the well-known converse to the contraction principle due to C. Bessaga [Colloq. Math. 7, 41-43 (1959; Zbl 0089.315)], dropping the uniqueness of the fixed point from its hypotheses. Some properties of weakly Picard mappings are given.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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