Common fixed points of self-maps over the generalized cone b-metric spaces

Abstract

The main aim of this research paper is to establish the most generalized common fixed-point theorem for two self-maps that are commuting to each other under \mathbf{T}-Kannan type contractive condition over a generalized cone \mathbb{b}-metric spaces. The novelty of this research paper is to find a common fixed point of two weekly compatible self-maps over a generalized cone \mathbb{b}-metric spaces without assuming the normality condition of a cone. We illustrate our main result with a suitable example.

Keywords

• cone, fixed points, normal condition of a cone, generalized ƀ-cone metric space.