The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type , also, we give an applications by using the main theorems.
The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept are proved....
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