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Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations (2303.04425v2)
Published 8 Mar 2023 in math.GM
Abstract: The objective of this work is the construction of Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence criteria of solutions to a second order initial value problem. Also an analogue ofBanach type fixed point theorem of generalized parametric metric space is proved and its application on the existence of a solution of first order periodic boundary value differential equation is examined.
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