Some Results for One Class of Discontinuous Operators with Common Fixed Points (communicated by Muharem Avdispahic)
نویسنده
چکیده
In this article, the necessary and sufficient conditions for the existence of common fixed points for a compatible pair of selfmaps are proved. Also, the existence of common fixed points for a pair of compatible mappings of type (B) and for a pair of compatible mappings of type (A) as a corollary, are presented.
منابع مشابه
Some Results for One Class of Discontinuous Operators with Fixed Points
In 1986, L. Nova ([11]) defined a class of operators with fixed points called D(a, b) which includes many classic operators with fixed points. In this paper we give a compilation about existing results in this class. In addition we will prove some results for sequences of operators of class D(a, b), and we will give conditions for this operator class to be closed under sum and composition (or p...
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