A new variant of Kikkawa-Suzuki type fixed point theorem for multi-valued mappings with stability analysis and application to Volterra integral inclusion

Abstract

This paper aims to present a new variant of Kikkawa-Suzuki type common fixed point theorem for multi-valued mappings in the framework of partial metric space. This result is followed by the establishment of a Reich type common fixed point theorem applicable to multi-valued mappings. Some illustrative examples are provided to demonstrate our findings. Moreover, we analyse the data dependence and stability of fixed point sets for such mappings. To show the practical significance of the derived results, an application is shown to a system of Volterra integral inclusions.