M. S. Shagari - Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria. P. Oloche - Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria. M. Noorwali - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. I. Ayoob - Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia. N. Mlaiki - Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.
This paper studies a new notion of Jaggi-type hybrid (\(\theta\)-\(\phi\))-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.
M. S. Shagari, P. Oloche, M. Noorwali, I. Ayoob, N. Mlaiki, A methodology of hybrid fixed point theorems for solving Fredholm-Volterra integral equations, Journal of Mathematics and Computer Science, 41 (2026), no. 3, 334--346
Shagari M. S., Oloche P., Noorwali M., Ayoob I., Mlaiki N., A methodology of hybrid fixed point theorems for solving Fredholm-Volterra integral equations. J Math Comput SCI-JM. (2026); 41(3):334--346
Shagari, M. S., Oloche, P., Noorwali, M., Ayoob, I., Mlaiki, N.. "A methodology of hybrid fixed point theorems for solving Fredholm-Volterra integral equations." Journal of Mathematics and Computer Science, 41, no. 3 (2026): 334--346
