Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations
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Abhishikta Das
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.
Acknowledgement
The authors are thankful to the Editor-in-Chief, Editors, and Reviewers of the journal Mathematica Slovaca for their valuable comments which helped us to revise the manuscript in the present form.
Communicated by Michal Fečkan
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