Some New Results on Universal Metric Spaces

Akbar Dehghan Nezhad, Najmeh Khajuee, Zead Mustafa

Abstract

In this paper we establish some common fixed point results for two self-mappings $f$ and $g$ on a universal metric space of dimension $n$. To prove our results we assume that $f$ is a weakly $U$-contraction mapping of types $A_u$ and $B_u$ with respect to $g$. Also we introduce a new concept $\Gamma$-distance on a complete partially ordered $U_n$-metric space and prove a fixed point theorem.