Fixed-Point Theorems Using α-Series in F-Metric Spaces

Fixed-point theory, which has been developing since 1922, is widely used. Various contraction principles have been defined in the literature. In this work, we define rational-type contraction and weak Choudhury type contraction using α-series in F-metric spaces and prove common fixed-point theorems...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 12; no. 16; p. 2596
Main Authors Ozturk, Vildan, Turkoglu, Duran
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2024
Subjects
contraction
Differential equations
F-metric
fixed point
Fixed points (mathematics)
Inequality
Integral equations
Metric space
Sequences
Theorems
α-series
Online AccessGet full text

Cover

More Information
Summary:Fixed-point theory, which has been developing since 1922, is widely used. Various contraction principles have been defined in the literature. In this work, we define rational-type contraction and weak Choudhury type contraction using α-series in F-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. Finally, we apply our main results to solve an integral equation and a differential equation.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12162596