Abstract
In this paper, we introduce Presic type mappings in ultrametric spaces and study the generalization of the Banach contraction principle by obtaining common fixed points for a pair of mappings in product spaces. Further, we investigate coincidence value and common fixed point of self mappings satisfying Presic type contractive conditions in ultrametric spaces. Then we show how the common fixed point is approximated by various iteration schemes in ultrametric spaces. Also, stability of those iteration schemes is investigated. Examples are given to support our results. As an application, we obtain well-posedness of the common fixed point problem.
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