Abstract
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.
Highlights
Roovij in [1] introduced the concept of ultra metric space
Mostafa [5] extend the fixed point theorems from the single-valued maps to the setvalued contractive maps
Rao [7] proved some common fixed point theorems for a pair of maps of Jungck type on a spherically complete ultra metric space
Summary
Roovij in [1] introduced the concept of ultra metric space. Later, C. Vidalis [2] and Ljiljana Gajic [3] studied fixed point theorems of contractive type maps on a spherically complete ultra metric spaces which are generalizations of the Banach fixed point theorems. Ranga Rao obtained two coincidence point theorems for three or four self maps in ultra metric space. N. Mostafa [5] extend the fixed point theorems from the single-valued maps to the setvalued contractive maps. Rao [7] proved some common fixed point theorems for a pair of maps of Jungck type on a spherically complete ultra metric space. We are going to establish some results on coincidence and common fixed point for two pair of multi-valued and single-valued maps in ultra metric spaces
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