Choudhury, Binayak S.; Das, Krishnapada; Bhandari, Samir Kumar A fixed point theorem for Kannan type mappings in 2-Menger space using a control function. (English) Zbl 1314.47076 Bull. Math. Anal. Appl. 3, No. 3, 141-148 (2011). Summary: In this paper, we have obtained a fixed point theorem for Kannan type mappings in 2-Menger space using a control function. Our result generalizes some existing fixed point theorems in 2-metric spaces. Our result is supported with an example. Cited in 1 ReviewCited in 3 Documents MSC: 47H10 Fixed-point theorems Keywords:2-Menger space; Cauchy sequence; fixed point; \(\phi\)-function; \(\psi\)-function PDFBibTeX XMLCite \textit{B. S. Choudhury} et al., Bull. Math. Anal. Appl. 3, No. 3, 141--148 (2011; Zbl 1314.47076) Full Text: Link