Fixed point theorems under F-contraction in ultrametric space

Abstract

In this paper, we establish some results on coincidence and common fixed points for a single-valued map, a pair of single-valued maps and of single-valued map with a multi-valued map in an Ultrametric space which satisfy F-contraction. Our theorems generalize and extent the theorems of Mishra and Pant [Generalization of some fixed point theorems in ultrametric spaces, Adv. Fixed Point Theory, 4(1)(2014), 41- 47], thereby generalizes some known results in the existing literature.