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.