Probabilistic b-metric spaces and nonlinear contractions

Abstract

Abstract This work is for giving the probabilistic aspect to the known b-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.

Keywords

• probabilistic (fuzzy) b-metric spaces
• fixed points
• nonlinear contractions