New Types of Fc-Contractions and the Fixed-Circle Problem
In this paper we investigate some fixed-circle theorems using Ćirić’s technique (resp. Hardy-Rogers’ technique, Reich’s technique and Chatterjea’s technique) on a metric space. To do this, we define new types of F c -contractions such as Ćirić type, Har...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Sprog: | English |
| Udgivet: |
MDPI AG
2018-10-01
|
| Serier: | Mathematics |
| Fag: | |
| Online adgang: | http://www.mdpi.com/2227-7390/6/10/188 |
| Summary: | In this paper we investigate some fixed-circle theorems using Ćirić’s technique (resp. Hardy-Rogers’ technique, Reich’s technique and Chatterjea’s technique) on a metric space. To do this, we define new types of F c -contractions such as Ćirić type, Hardy-Rogers type, Reich type and Chatterjea type. Two illustrative examples are presented to show the effectiveness of our results. Also, it is given an application of a Ćirić type F c -contraction to discontinuous self-mappings which have fixed circles. |
|---|---|
| ISSN: | 2227-7390 |