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The purpose of this paper is to study common fixed point theorems for a set-valued and single-valued mappings in a metric spaces. Generalizations and extensions of known results are thereby obtained.
The purpose of this paper is to study a common fixed point theorems on 2-metric spaces. Generalizations some definitions on 2-metric spaces and Fisher theorems  on 2-metric spaces.
Most real life situations need some sort of approximation to fit mathematical models. The beauty of using topology in approximation is achieved via obtaining approximation for qualitative subsets without coding or using assumption. The aim of this paper is to introduce different approaches to near sets by using general relations and special neighbourhoods.… (More)
We give a sufficient condition for insertion of a continuous function between two comparable real-valued functions in terms of lower cut sets.
The aim of this paper is to introduce three approaches to near sets by using a multi-valued system. Some fundamental properties and characterizations are given. We obtain a comparison among these types of approximations.
Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of an α-continuous function between two comparable real-valued functions.