Common Fixed Point Theorems under Interpolative Boyd–Wong and Matkowski Type Contractions in Partial b-Metric Spaces | Synapse
April 3, 2026
Common Fixed Point Theorems under Interpolative Boyd–Wong and Matkowski Type Contractions in Partial b-Metric Spaces
Key Points
This research aims to explore fixed point theorems related to newly defined contraction types in specific mathematical spaces.
Defined interpolative Boyd–Wong and Matkowski type contractions.
Focused on self-maps within partial b-metric spaces.
Analyzed the implications of these contractions on fixed points.
Established common fixed point theorems for the defined contractions.
Demonstrated conditions under which fixed points exist in these spaces.
Abstract
We define interpolative Boyd–Wong and Matkowski type contractions for a pair of self-maps in the setting of partial b -metric spaces and prove common fixed point theorems.