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Zbl 0947.54022
Hicks, Troy L.; Rhoades, B.E.
Fixed point theory in symmetric spaces with applications to probabilistic spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 36, No.3, A, 331-344 (1999). ISSN 0362-546X

The main purpose of this paper is to present Jungck type fixed point theorems [{\it G. Jungck}, Am. Math. Mon. 83, 261-263 (1976; Zbl 0321.54025); the reviewer, Math. Semin. Notes, Kobe Univ. 7, 91-97 (1979; Zbl 0419.54029)] in general probabilistic structures. Indeed, the authors obtain common fixed point theorems for symmetric spaces and then present these results in probabilistic analysis. Subsequently, several results from G. Jungck [loc. cit.], the first author [Math. Jap. 44, No. 3, 487-493 (1996; Zbl 0868.47048)], the reviewer [loc. cit.] and elsewhere are generalized.
[S.L.Singh (Rishikesh)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E70 Probabilistic metric spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47S50 Operator theory in probabilistic metric linear spaces

Keywords: symmetric space; probabilistic space; random normed space

Citations: Zbl 0321.54025; Zbl 0419.54029; Zbl 0868.47048

Cited in: Zbl 1206.54062 Zbl 1101.54045 Zbl 1087.54018 Zbl 1076.54529

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