Fixed Point Theorem for Single valued Mapping in Convex Partial Symmetric Spaces with an Application

Authors : Lucas WANGWE, Santosh KUMAR

Pages : 332-340

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Publication Date : 2022-10-31

Article Type : Research Paper

Abstract :In this paper, we proved a fixed point theorem for single-valued mapping in convex partial symmetric spaces. In doing so, we extended and generalised the theorem due to Asim et al. [3] by employing a convex structure for single-valued Kannan type contractions. We also provided an illustrative example to support the results and an application to integral equation.
Keywords : Fixed point, partial symmetric spaces, convex partial symmetric spaces, single valued mapping, integral equation