Common Fixed Point Theorems for Generalized <I>R′</I>-contraction in b-metric Spaces

Soressa Wakesa Bekana

doi:doi:10.11648/j.ml.20220802.11

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Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces

Soressa Wakesa Bekana

Published in Mathematics Letters (Volume 8, Issue 2)

Received: 26 February 2022 Accepted: 8 April 2022 Published: 22 April 2022

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Abstract

In this paper, the researcher presents some common fixed point theorems for self-mappings satisfying generalized R′-contraction in b-metric spaces and obtained a unique common fixed point of a self-mapping satisfying certain contraction in the framework of b- metric spaces. The results presented over her generalize and extend some existing results in the literature. Finally, he illustrate example to support the results.

Published in	Mathematics Letters (Volume 8, Issue 2)
DOI	10.11648/j.ml.20220802.11
Page(s)	22-31
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Common Fixed Point, b-metric Space, R′-contraction, R′-function, Weakly Compatible Mapping, Simulation Function

References

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[3]	I. A. Bakhatin, (1989), the contractive mapping principle in almost metric space, Func. Anal., 30, 26-37. 1, 1. 1.
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[6]	W, Kumam, P, Sukprasert, P. Kumam, A, Shoaib, A. Shahzad and Q. Mahmood, (2018), Some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces, Cogent Mathematic sand Statistic, https://doi.org/10.1080/25742558.2018.1458933.
[7]	T. Abdeljawad, E. Karapinar, K. Tas, Existence and uniqueness of a common fixed point on Partial metric spaces, Appl., math. Lett., 24 (2011), 1900-1904. 1.
[8]	S. Phiangsunangnsungnoen and P. Kumamam, (2015), Fuzzy fixed point theorem for Mult-ivalued fuzzy contraction in b-metric spaces, J. Nonlinear Sci. Appl., 8, 5563.
[9]	C. Mongkolcha, Y. J. Cho and P. Kumam, (2017), Fixed point theorems for simulation function in b-metric space via the wt-distance, Applied Genereal Topology, 18, 91-105.
[10]	H. Piri and P. Kumam, (2016). Fixed point theoremsfor generalized F-Suzuki-Contraction in Complete b-metric spaces, Fixed Point Theory and Applications, 90, doi: 10.1186/s13663-016-0577-5.
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[14]	M. Boriceanu, (2009). Strict fixed point theorems for multivalued operations in b-metric Spaces, Int. J. Moda. math. 4, 285-301.
[15]	A. Wiriyapongsanon and N. Phudolsitthiphat, (2018). Fixed point theorem for Generalized R-contraction in b-metric space, Chiang Mai University, Thai Journal of Math., 277-287.
[16]	Jungck. G. and B. E. Rhoades, (2006). Fixed point theorems for occasionally weakly compatible mappings, fixed point theory 7 (2), 287-296.
[17]	Jungck. G. (1985). Compatible mapping and common fixed points, Internet. J Math. Sci., 9, 771- 779.
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APA Style

Soressa Wakesa Bekana. (2022). Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Mathematics Letters, 8(2), 22-31. https://doi.org/10.11648/j.ml.20220802.11

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ACS Style

Soressa Wakesa Bekana. Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Math. Lett. 2022, 8(2), 22-31. doi: 10.11648/j.ml.20220802.11

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AMA Style

Soressa Wakesa Bekana. Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Math Lett. 2022;8(2):22-31. doi: 10.11648/j.ml.20220802.11

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@article{10.11648/j.ml.20220802.11,
  author = {Soressa Wakesa Bekana},
  title = {Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces},
  journal = {Mathematics Letters},
  volume = {8},
  number = {2},
  pages = {22-31},
  doi = {10.11648/j.ml.20220802.11},
  url = {https://doi.org/10.11648/j.ml.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20220802.11},
  abstract = {In this paper, the researcher presents some common fixed point theorems for self-mappings satisfying generalized R′-contraction in b-metric spaces and obtained a unique common fixed point of a self-mapping satisfying certain contraction in the framework of b- metric spaces. The results presented over her generalize and extend some existing results in the literature. Finally, he illustrate example to support the results.},
 year = {2022}
}

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TY  - JOUR
T1  - Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces
AU  - Soressa Wakesa Bekana
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PY  - 2022
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T2  - Mathematics Letters
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PB  - Science Publishing Group
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AB  - In this paper, the researcher presents some common fixed point theorems for self-mappings satisfying generalized R′-contraction in b-metric spaces and obtained a unique common fixed point of a self-mapping satisfying certain contraction in the framework of b- metric spaces. The results presented over her generalize and extend some existing results in the literature. Finally, he illustrate example to support the results.
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Author Information

Soressa Wakesa Bekana

Department of Mathematics, Wollega University, Nekemte, Ethiopia

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Plain Text BibTeX RIS

APA Style

Soressa Wakesa Bekana. (2022). Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Mathematics Letters, 8(2), 22-31. https://doi.org/10.11648/j.ml.20220802.11

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ACS Style

Soressa Wakesa Bekana. Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Math. Lett. 2022, 8(2), 22-31. doi: 10.11648/j.ml.20220802.11

Copy | Download

AMA Style

Soressa Wakesa Bekana. Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces. Math Lett. 2022;8(2):22-31. doi: 10.11648/j.ml.20220802.11

Copy | Download

@article{10.11648/j.ml.20220802.11,
  author = {Soressa Wakesa Bekana},
  title = {Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces},
  journal = {Mathematics Letters},
  volume = {8},
  number = {2},
  pages = {22-31},
  doi = {10.11648/j.ml.20220802.11},
  url = {https://doi.org/10.11648/j.ml.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20220802.11},
  abstract = {In this paper, the researcher presents some common fixed point theorems for self-mappings satisfying generalized R′-contraction in b-metric spaces and obtained a unique common fixed point of a self-mapping satisfying certain contraction in the framework of b- metric spaces. The results presented over her generalize and extend some existing results in the literature. Finally, he illustrate example to support the results.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Common Fixed Point Theorems for Generalized R′-contraction in b-metric Spaces
AU  - Soressa Wakesa Bekana
Y1  - 2022/04/22
PY  - 2022
N1  - https://doi.org/10.11648/j.ml.20220802.11
DO  - 10.11648/j.ml.20220802.11
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 22
EP  - 31
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20220802.11
AB  - In this paper, the researcher presents some common fixed point theorems for self-mappings satisfying generalized R′-contraction in b-metric spaces and obtained a unique common fixed point of a self-mapping satisfying certain contraction in the framework of b- metric spaces. The results presented over her generalize and extend some existing results in the literature. Finally, he illustrate example to support the results.
VL  - 8
IS  - 2
ER  -

Copy | Download