Common fixed point theorems via α-series in b-metric spaces

V. Ozturk, D. Turkoglu

In this work, we will define rational type Hardy-Rogers contraction principle by α-series using homogeneous functions in b-metric spaces and prove common fixed point theorems for sequences of self mappings. This method is based on the convergence series of coefficients. Our results are the generalized version of the results in the literature.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 3 (2023), pp. 159-167