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

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.

References

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