Resolving elliptic boundary value problem and integral equation in relational partial metric space
In the present study, a novel version of the contraction theory on a relational partial metric space associated with a binary relation is exhibited. In this process, we observe that numerous relations can be used in many well-known fixed point theorems earlier introduced by multiple authors. We solv...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
|
| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024167977 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In the present study, a novel version of the contraction theory on a relational partial metric space associated with a binary relation is exhibited. In this process, we observe that numerous relations can be used in many well-known fixed point theorems earlier introduced by multiple authors. We solve an elliptic boundary value problem and an integral equation to make the significance of the main conclusion evident. Exploring a nonlinear system, governed by nonlinear equations, underscores the importance of comprehending fixed points - pivotal states where the dynamics of a system remain unaltered. |
|---|---|
| ISSN: | 2405-8440 |