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in this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy almost weakly generalized closed mappings and intuitionistic fuzzy almost weakly generalized open mappings in intuitionistic fuzzy topological space. Some of their properties are explored.

Upper ontologies are interesting because describing and representing concepts that can be used across various domains (as opposed to domain ontologies). This feature may enable increased correctness of mappings between domain ontologies, conceptual schema and languages. Unfortunately, there exist various upper ontologies and it is quite difficult to decide or to assess which of them should be u...

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

*Correspondence: [email protected] 3Department of Mathematics, Kano University of Science and Technology, P.M.B. 3042, Wudil, Kano, Nigeria Full list of author information is available at the end of the article Abstract In this work, we initiate the notions of dislocated-Ab-quasi-metric and Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point of weakly compatible ...

In this paper, we consider a nonnegative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of o...

In this note, we introduce some contractive conditions which complete the corresponding contractive conditions appeared in references [1]-[11]. By these conditions, we prove that twenty-two contractive conditions are equivalent. Then we use these conditions to get some common fixed point theorems for noncompatible maps and some weakly compatible mappings. There are a number of papers dealing wi...