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Fixed points for compatible mappings of type $\left(A\right)$. (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 A. Constantin [Math. Jap. 36, No. 3, 507-514 (1991; Zbl 0763.54031)], M. Imdad, M. S. Khan and M. D. Khan [Math. Jap. 36, No. 5, 907-914 (1991; Zbl 0769.54050)] and the author, M. S. Khan and S. L. Singh [Zb. Rad. Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 18, No. 1, 129-142 (1988; Zbl 0708.54037)].

##### MSC:
 54H25 Fixed-point and coincidence theorems in topological spaces