The metric function generalizes the concept of distance between two points and hence includes the symmetric property. The aim of this article is to introduce a new and proper …
In this paper, using an interpolative approach, we investigate two fixed point theorems in the framework of ab-metric space whose all closed and bounded subsets are compact. One of …
By using an interpolation approach, we recognize Boyd-Wong and Matkowski type contractions and we prove the related fixed point theorems in the class of metric spaces. The …
Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized (ϕ, ψ)(ϕ, ψ) …
P Debnath - Asian-European Journal of Mathematics, 2022 - World Scientific
Our aim is to introduce an updated and real generalization of Kannan's fixed point theorem with the help of F-contraction introduced by Wardowski for single-valued mappings. Our …
P Gautam, C Kaur - Rendiconti del Circolo Matematico di Palermo Series …, 2023 - Springer
The existence of fixed points and their uniqueness in the framework of a metric space is one of the centers of interest in nonlinear functional analysis. The Banach contraction mapping …
V Berinde, M Păcurar - Analele ştiinţifice ale Universităţii" Ovidius" …, 2022 - sciendo.com
Using the technique of enriching contractive type mappings, we introduce a more general concept of enriched Ciric-Reich-Rus contraction than the one studied in [Berinde, V.; …
In this paper, we define interpolative enriched contractions of Kannan type, Hardy-Rogers type and Matkowski type, by enriching existing interpolative contractions, in the setting of …
In this paper, we introduce a new generalized concept, namely, extended interpolative Cirić– Reich–Rus-type F-contraction in b-metric space. In addition, we put forward the notion of …