Some common fixed point theorems for a pair of tangential mappings in symmetric spaces. (English) Zbl 1213.54066

In this note the authors consider two common fixed point theorems proved by R. P. Pant [J. Math. Anal. Appl. 240, No. 1, 280–283 (1999; Zbl 0933.54031)] and by K. P. R. Sastry and J. S. R. Krishma Murthy [ibid. 250, No. 2, 731–734 (2000; Zbl 0977.54037)] and prove their analogues in a symmetric space setting. Let us recall that a notion of a symmetric on a non-empty set was introduced by Menger in 1928 and it denotes a function \(d:X\times X\to [0,+\infty)\) such that \(d(y,x)=d(x,y)\) and \(d(x,x)=0\) (for all \(x,\;y\in X\) ).


54H25 Fixed-point and coincidence theorems (topological aspects)
54E25 Semimetric spaces
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