New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces
The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/8833214 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ-contraction in b-rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |