Geodesic
On generalized Suzuki-Proinov type (α, Z * e) −contractions in modular b−metric spaces
Filomat, Tome 37 (2023) no. 4, p. 1207

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DOI

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.
DOI : 10.2298/FIL2304207B
Classification : 47H10, 54H25
Keywords: Simulation function, Proinov type function, Modular b−metric space, Common fixed point 
Abdurrahman Büyükkaya; Andreea Fulga; Mahpeyker Öztürk. On generalized Suzuki-Proinov type (α, Z * e) −contractions in modular b−metric spaces. Filomat, Tome 37 (2023) no. 4, p. 1207 . doi: 10.2298/FIL2304207B
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     title = {On generalized {Suzuki-Proinov} type (\ensuremath{\alpha}, {Z} * e) \ensuremath{-}contractions in modular b\ensuremath{-}metric spaces},
     journal = {Filomat},
     pages = {1207 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304207B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304207B/}
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