Abstract
In this paper, we generalize the Banach contraction principle by proving common fixed point theorems for mappings satisfying Presic type conditions in 2-Banach spaces. The common fixed point is approximated by the \(k\)-Picard type and \(k\)-Mann type iteration schemes in product spaces. The results in this paper extend the results of Presic in the framework of a 2-Banach space. An example is provided which illustrate the results.
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