Fixed point theorems for weak contraction in partially ordered G-metric space

2014/03/08 by Snehasish Bose, Bose, Snehasish, Sk. Monowar Hossein +1
Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1403.1935

openalex publication_date 2014/03/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, we present some fixed point theorems in partially ordered G-metric space using the concept of (ψ,ϕ)- weak contraction which extend many existing fixed point theorems in such space. We also give some examples to show that if we transform a metric space into a G-metric space our results are not equivalent to the existing results in metric space.

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