Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems
نویسندگان
چکیده
Abstract This paper provides two wide classes of contractions, which are obtained by using notions $\alpha _{s^{p}} $ α s p -admissibility and the rich set C -class functions in setting a complete b -metric-like space under more general contractive conditions. An application is provided many known results literature can be derived.
منابع مشابه
Solutions of initial and boundary value problems via F-contraction mappings in metric-like space
We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...
متن کاملSome generalizations for (α−ψ,φ)$(\alpha - \psi,\phi )$-contractions in b-metric-like spaces and an application
*Correspondence: [email protected] 1Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania Full list of author information is available at the end of the article Abstract In this paper, we introduce a new class of αqsp -admissible mappings and provide some fixed point theorems involving this class of mappings satisfying...
متن کاملCoupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications
The aim of this paper is to establish some fixed point theorems for $alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} cite{Ciric3}. We also present an application in order to i...
متن کاملSome Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces
Compared with the previous work, the aim of this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.
متن کاملFixed points of generalized $alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces
In this paper, we first introduce some types of generalized $alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2021
ISSN: ['1687-1839', '1687-1847']
DOI: https://doi.org/10.1186/s13662-021-03412-x