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Multi-valued contraction theorems in probabilistic metric space. (English) Zbl 1234.54052

Based on the papers [D. Miheţ, “A fixed point theorem in probabilistic metric spaces”, Automat. Comput. Appl. Math. 11, No. 1, 79–81 (2002); J. Math. Anal. Appl. 304, No. 2, 464–472 (2005; Zbl 1072.47066)], the concept of multivalued \((\varphi-k)\)-B contraction in probabilistic metric spaces is introduced and two fixed point theorems are proved.

MSC:

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

Citations:

Zbl 1072.47066
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