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Probabilistic $$b$$-metric spaces and nonlinear contractions. (English) Zbl 1381.54036
Summary: This work is for giving the probabilistic aspect to the known $$b$$-metric spaces [S. Czerwik, Atti Semin. Mat. Fis. Univ. Modena 46, No. 2, 263–276 (1998; Zbl 0920.47050)], which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E70 Probabilistic metric spaces 47S50 Operator theory in probabilistic metric linear spaces 34B15 Nonlinear boundary value problems for ordinary differential equations
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##### References:
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