A generalization of fixed point theorems about $F$-contraction in particular $S$-metric spaces and characterization of quasi-contraction maps in $b$-metric spaces

Research

Title	A generalization of fixed point theorems about $F$-contraction in particular $S$-metric spaces and characterization of quasi-contraction maps in $b$-metric spaces
Type	JournalPaper
Keywords	Fixed point, $F$-contraction, $S$-metric space
Year	2019
Journal	University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics
DOI
Researchers	Ghorban Khlilzadeh Ranjbar ، Mohammad Esmael Samei

Abstract

In this paper, we define a new $S$-metric space and describe some fixed point theorems concerning $F$-contraction. In this way, we give some examples to illustrate our results. Also we give a partial answer to a question raised by Singh, Czerwik and Krol.

Mohammad Esmael Samei

Research

Abstract