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We establish some results on coincidence and common fixed point for a two pair of multi-valued and single-valued maps in ultra metric spaces.
of this paper is to prove common fixed point theorems for variants of weak
compatible maps in a complex valued-metric space. In this paper, we generalize
various known results in the literature using (CLRg) property. The
concept of (CLRg) does not require a
more natural condition of closeness of range.
In this paper, we consider
a countable family of set-valued mappings satisfying some quasi-contractive
conditions. We also construct a sequence by the quasi-contractive conditions of
mappings and the boundary condition of a closed subset of a metrically convex
space, and then prove that the unique limit of the sequence is the unique
common fixed point of the mappings. Finally, we give more generalized common
fixed point theorems for a countable family of single-valued
mappings. The main results generalize and improve many common fixed point
theorems for a finite or countable family of single valued or set-valued mappings
with quasi-contractive conditions.