On generalized Suzuki-Proinov type (α, Z * e) −contractions in modular b−metric spaces


Abdurrahman Büyükkaya, Andreea Fulga, Mahpeyker Öztürk




This paper's objective is to put forward a new kind of E−type contraction, which includes rational expression, by considering Proinov type functions and C G −simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized α, Z * E − contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular α−admissible pairs, are demonstrated in the setting of modular b−metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.