Prešić type results in 2-Banach spaces
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- Shukla, S. Afr. Mat. (2014) 25: 1043. doi:10.1007/s13370-013-0174-2
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In this paper, we generalize the Banach contraction principle by proving common fixed point theorems for mappings satisfying Prešić 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 Prešić in the framework of a 2-Banach space. An example is provided which illustrate the results.