Abstract
The notion of rational F-contractions using α -admissibility of type-S in b-metric-like spaces is introduced and the new fixed and periodic point theorems are proved for such mappings. Numerical examples are illustrated to check the efficiency and applicability of our fresh findings. It is also observed that some of the works reported in the literature are the particular cases of the present study.
Highlights
The notion of F-contraction mapping was introduced by Wardowski [1] in fixed point theory and proved the related results
We introduce different types of rational F-contraction with α-admissibility type-S and examine the existence and uniqueness of fixed points in b-metric-like spaces
The notion of rational F-contractions using α-admissibility of type-S is considered in b-metric-like spaces and the new fixed point and periodic point results are studied for such mappings
Summary
The notion of F-contraction mapping was introduced by Wardowski [1] in fixed point theory and proved the related results. These results are the generalization of Banach contraction mapping principle as well as various fixed point theorems appearing in the literature, for instance [2]. Alghamdi et al [3] found existence and uniqueness of fixed points for the mappings in b-metric-like and partially ordered b-metric-like spaces. Sintunavarat [5] introduced the concept of α-admissible type-S in partial b-metric space and derived based fixed point results. We introduce different types of rational F-contraction with α-admissibility type-S and examine the existence and uniqueness of fixed points in b-metric-like spaces. Throughout this paper, R, R+ and N are denoted as real numbers, nonnegative real numbers and positive integers, respectively
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