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Fixed points for compatible mappings of type $(A)$. (English) Zbl 0791.54058
The author introduces the concepts of compatible mappings and compatible mappings of type (A) in 2-metric spaces and proves some common fixed point theorems for these mappings. The results presented in this paper extend, generalize and improve the corresponding results of {\it A. Constantin} [Math. Jap. 36, No. 3, 507-514 (1991; Zbl 0763.54031)], {\it M. Imdad}, {\it M. S. Khan} and {\it M. D. Khan} [Math. Jap. 36, No. 5, 907-914 (1991; Zbl 0769.54050)] and the author, {\it M. S. Khan} and {\it S. L. Singh} [Zb. Rad. Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 18, No. 1, 129-142 (1988; Zbl 0708.54037)].

54H25Fixed-point and coincidence theorems in topological spaces