Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations

Abhishikta Das; Hijaz Ahmad; T. Bag

doi:10.1515/ms-2024-0093

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arXiv · 2303.04425

Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations

Abhishikta Das·Hijaz Ahmad·T. Bag

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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 of `Banach 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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Abhishikta Das, Hijaz Ahmad, T. Bag. 2023-03-08. Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations. https://doi.org/10.1515/ms-2024-0093

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