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Tajuk: A METHODOLOGY OF HYBRID FIXED POINT THEOREMS FOR SOLVING FREDHOLM-VOLTERRA INTEGRAL EQUATIONS
Pengarang: Mohammed Shehu Shagaria
Olochea, Paul
Maha Noorwalib
Irshad Ayoobc
Nabil Mlaiki
Kata kunci: Fixed point
Metric space
Θ-contraction
Nonlinear integral equation
Volterra-Fredholm integral
Tarikh diterbit: 5-Sep-2025
Penerbit: ISR PUBLICATION
Siri / Laporan No.: Journal of Mathematics and Computer Science;41(2026),334-346
Abstrak: 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/123456789/10440
ISSN: doi: 10.22436/jmcs.041.03.04
2008-949X
Muncul dalam Koleksi:JABATAN MATEMATIK, SAINS DAN KOMPUTER

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