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Common fixed point results via Aϑ-α-contractions with a pair and two pairs of self-mappings in the frame of an extended quasi b-metric space.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 3, p7225-7241, 17p
- Publication Year :
- 2023
-
Abstract
- In this paper, we take advantage of implicit relationships to come up with a new concept called "Aϑ-α-contraction mapping". We utilized our new notion to formulate and prove some common fixed point theorems for two and four self-mappings over complete extended quasi b-metric spaces under a set of conditions. Our main results widen and improve many existing results in the literature. To support our research, we present some examples as applications to our main findings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 161541058
- Full Text :
- https://doi.org/10.3934/math.2023363