A New Approach of Proinov-Type Contractions on Metric Spaces

In this paper, we define the classes of Proinov D-contraction and generalized Proinov D-contraction which are properly larger than the classes of (\psi,\varphi)-contraction and generalized (\psi,\varphi)-contraction studied by Proinov (۲۰۲۰)  and  improved and corrected by  Popescu (۲۰۲۱). Also, the given results are a  real  generalization of Banach's contraction principle, \'Ciri\'c  (۱۹۷۱) and Boyd and Wong (۱۹۶۹). The given examples demonstrate  that our results generalize the results announced by Popescu and Proinov  effectively and robustly.

کلیدواژه ها:

Metric space ، Fixed point ، Banach contraction principle ، Picard iteration