Applications to boundary value problems and homotopy theory via tripled fixed point techniques in partially metric spaces
Hammad H.A. Agarwal P. Guirao J.L.G.
August 2021MDPI AG
Mathematics
2021#9Issue 16
In this manuscript, some tripled fixed point results were derived under (ϕ, ρ, ℓ)-contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem. Furthermore, some results about a homotopy results are obtained. Finally, theoretical results are involved in some applications, such as finding the unique solution to the boundary value problems and homotopy theory.
Boundary value problem , Homotopy theory , Partially ordered metric space , Tripled fixed point
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Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt
Department of Mathematics, Anand International College of Engineering, Jaipur, 302012, India
Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, AE 346, United Arab Emirates
Institute of Mathematical Modeling, Almaty, 050010, Kazakhstan
International Center for Basic and Applied Sciences, Jaipur, 302029, India
Harish-Chandra Research Institute (HRI), Allahabad, 211019, India
Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Hospital de Marina, Murcia, 30203, Spain
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
Department of Mathematics
Department of Mathematics
Nonlinear Dynamics Research Center (NDRC)
Institute of Mathematical Modeling
International Center for Basic and Applied Sciences
Harish-Chandra Research Institute (HRI)
Departamento de Matematica Aplicada y Estadistica
Department of Mathematics
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