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

Mallikarjun Reddy Pagidi

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.

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References


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DOI: http://dx.doi.org/10.23755/rm.v48i0.1248

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