(f, g)-φ-Contraction Mappings in Menger
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Common fixed point theorem. (A,B)-ω-probabilistic contraction. Menger spaces. Fuzzy metric spaces.Abstract
In the current work, we will focus on coincidence point and common fixed point property for a family of single mappings in Menger spaces. In order to realize our objective, we present the concept of (A, B)-ω-probabilistic contraction, and by utilizing these one, we will examine the common fixed point property for a family of mappings in Menger spaces. The related common fixed point property in fuzzy metric spaces is achieved as a result of our main finding. Finally, we will give some relatives results in ordinary metric spaces to illustrate the main theorem.
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