Multivalued interpolative type contractions on partial metric spaces

Key Points

• This article aims to establish criteria for the existence of fixed points in complete partial metric spaces using multivalued contractions.
• Introduces the concept of multivalued interpolative Reich–Rus–Ćirić type contractions.
• Establishes criteria for fixed point existence in complete partial metric spaces.
• Provides a nontrivial example to illustrate the findings.
• Criteria for fixed points in partial metric spaces were successfully established.
• Introduced methods indicate new approaches in fixed point theory.