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https://repositori.mypolycc.edu.my/jspui/handle/123456789/10797| Title: | A METHODOLOGY OF HYBRID FIXED POINT THEOREMS FOR SOLVING FREDHOLM-VOLTERRA INTEGRAL EQUATIONS |
| Authors: | Mohammed Shehu Shagari Oloche, Paul Maha Noorwali Irshad Ayoob Nabil Mlaiki |
| Keywords: | Fixed point Metric space θ-contraction Nonlinear integral equation Volterra-Fredholm integral |
| Issue Date: | 5-Sep-2025 |
| Publisher: | ISR Publications |
| Series/Report no.: | Journal of Mathematics and Computer Science (JMCS);41 (2026), 334–346 |
| Abstract: | This paper studies a new notion of Jaggi-type hybrid (θ-ϕ)-contraction and demonstrates its roles in proving fixed point theorems within the context of a generalized metric space. We prove, using comparative examples that under special instances, the ideas presented herein can be reduced to some known results in the existing literature. To show a possible application of our main contractive inequality, iterative methods are developed for addressing the existence of solutions to a class of mixed nonlinear fixed point problems involving Volterra-Fredholm integral equation. |
| URI: | https://repositori.mypolycc.edu.my/jspui/handle/123456789/10797 |
| Appears in Collections: | JABATAN MATEMATIK, SAINS DAN KOMPUTER |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A methodology of hybrid fixed point theorems for solving.pdf | 483.61 kB | Adobe PDF | View/Open |
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