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Fixed point theorems in metric spaces and probabilistic metric spaces. (English) Zbl 0843.47033

Summary: We prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces. Also, we extend Caristi’s fixed point theorem and Ekeland’s variational principle in metric spaces to probabilistic metric spaces.

MSC:

47H10 Fixed-point theorems
47S50 Operator theory in probabilistic metric linear spaces
54H25 Fixed-point and coincidence theorems (topological aspects)
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