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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 $d:X×X\to \left[0,+\infty \right)$ such that $d\left(y,x\right)=d\left(x,y\right)$ and $d\left(x,x\right)=0$ (for all $x,\phantom{\rule{4pt}{0ex}}y\in X$ ).

##### MSC:
 54H25 Fixed-point and coincidence theorems in topological spaces 54E25 Semimetric spaces
##### References:
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