The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces
نویسندگان
چکیده
This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in space. Furthermore, we show novel fixed-point theorem for Gn-Menger-θ-contractions fractal spaces.
منابع مشابه
Some Remarks on Almost Menger Spaces and Weakly Menger Spaces
{V : V ∈ Vn} = X . Clearly, every Menger space is almost Menger and every almost Menger space is weakly Menger, but the converses do not hold (see Examples 2.1 and 2.2). On the study of weakly Menger spaces, almost Menger spaces and Menger spaces, the readers can see the references [2, 3, 4, 5, 6]. Here we investigate the relationships among almost Menger spaces, weakly Menger spaces and Menger...
متن کاملWeak Compatibility in Menger Spaces
In this paper, we prove a common fixed point theorem for weakly compatible maps in Menger space which generalizes the result of Kutukcu [6] without appeal to continuity on this space. We also cited an example in support of our result. Mathematics Subject Classification: Primary 47H10, Secondary 54H25
متن کاملCommon Fixed Point Theorems in Menger Spaces
In this paper Theorem 3.1 of Kubiaczyk and Sushil Sharma [5] is shown to hold even under weaker hypothesis (Theorem 2.2) and we obtain a fixed point theorem (Theorem 2.3) involving occasionally weakly compatible maps and also prove a coincidence point theorem (Theorem 2.4) for a pair of self maps under certain conditions. Examples are provided to show that the hypothesis in Theorems 2.3 and 2.4...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10162958