Zamfirescu mappings under Pata-type condition: results and application to an integral equation

Abstract

Introduction/purpose: Pata-type and Zamfirescu mappings are extended beyond metric spaces. Methods: The concept of Pata-type Zamfirescu mapping within the framework of S-metric spaces is employed. Results: A series of corresponding outcomes has been established. Furthermore, the obtained results are employed to solve an integral equation. Conclusions: S-Pata type and Zamfirescu mappings have unique fixed points.

Keywords

• pata-type contraction
• zamfirescu mapping
• s-metric space
• fixed point