Exploring strong controlled partial metric type spaces: Analysis of fixed points and theoretical contributions

Abstract

This study involves the generalization of partial metric spaces and strong controlled metric type spaces through the introduction of the notion of strong controlled partial metric type spaces. This research pursues a dual objective: firstly, to scrutinize fixed points related to contractions of the Kannan type within the framework of strong controlled partial metric type spaces, encompassing both linear and nonlinear contractions; secondly, to furnish illustrative examples and applications that underscore the consequential implications of our theoretical contributions.

Keywords

• Metric space (Ms)
• Fixed point (FP)
• Controlled metric space (CMs)
• Controlled partial metric type spaces
• Boundary Value Problem (BVP)