Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space

Soressa Wakesa Bekana

doi:doi:10.11648/j.ml.20220802.13

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Common Fixed Point Theorem for Four Self-Maps Satisfying (CLR_ST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space

Soressa Wakesa Bekana

Published in Mathematics Letters (Volume 8, Issue 2)

Received: 8 June 2022 Accepted: 16 September 2022 Published: 8 December 2022

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Abstract

This paper is devoted to obtain fixed point results. Fixed point theory is very wide field which have many application in different areas. The concept of altering distance to find fixed point results have been explored by many authors. In the present paper the author state altering distance function and ultra-altering distance function and the coincidence point for two self-mappings that satisfy the (CLR_ST) - property with the help of altering distance function and ultra-altering distance function in the context of b-metric spaces and achieve a unique common fixed point for two weakly compatible pairs. Many discoveries can also be derived from these main results in the framework of metric spaces.

Published in	Mathematics Letters (Volume 8, Issue 2)
DOI	10.11648/j.ml.20220802.13
Page(s)	37-42
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

B-metric Spaces, Coincidence Point, Weakly Compatible, Ultra-Altering Distance Function, Common Fixed Point

References

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[2]	Sintunavarat W and Kumam P 2011, Common fixed theorems for a pair of weakly compatible Mappings in Fuzzy metric spaces, Journal of Applied mathematics 637958 1-14.
[3]	Boriceanu M. 2009, Strict fixed point theorems for multivalued operator in b-metric spaces, Int. J. Mod. Math 4. 285-301.
[4]	S. Czerwik, 1993, Contraction mapping in b-metric space, Acta Mathematician Informatics University Ostraviensis, 1, 5-11.
[5]	Ozturk. V and Turkoglu. D 2015, Common fixed point theorems for mappings satisfying (E,A) property in b-metric spaces J. Nonlinear Sci. Appl. 8 1127-1133.
[6]	G. Jungck 1986, Compatible mapping and Common fixed points. Int. Math. Sci 9 771-779.
[7]	Ansori A H. Chandok S and Ionesco C. 2014. Fixed point theorem on b-metric spaces for Weakly contraction with Auxiliary function, Journal of inequality and Application 429 1-9.
[8]	Boriceanu, M. and Bota, M. and Petrusel, A. (2010). Multivalued fractals in b-metric spaces. Cent. Eur. J. Math, 8 (2), 367-377.
[9]	Q. Zhang. Y. Song, 2009, Fixed point theorem for generalized φ-weak contraction, Applied Mathematics Letters, 22 75-78.
[10]	Sahi Arora, 2020, common fixed point theorems for four self-maps satisfying〖(CLR)〗_ST –property in b-metric spaces, J. Phys. Conf. Ser. 1531 012083.
[11]	S. Phiangsungnoen and P. Kumamam, (2018), On stability of fixed point inclusion for multivalued type contraction mappings in dislocate b-metric space with application ApplSci, 114, https://doi.org/10.1002/mma.4871.
[12]	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 sanStatist https://doi.org/10.1080/25742558.2018.1458933.
[13]	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.
[14]	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.
[15]	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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APA Style

Soressa Wakesa Bekana. (2022). Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Mathematics Letters, 8(2), 37-42. https://doi.org/10.11648/j.ml.20220802.13

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ACS Style

Soressa Wakesa Bekana. Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Math. Lett. 2022, 8(2), 37-42. doi: 10.11648/j.ml.20220802.13

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AMA Style

Soressa Wakesa Bekana. Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Math Lett. 2022;8(2):37-42. doi: 10.11648/j.ml.20220802.13

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@article{10.11648/j.ml.20220802.13,
  author = {Soressa Wakesa Bekana},
  title = {Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space},
  journal = {Mathematics Letters},
  volume = {8},
  number = {2},
  pages = {37-42},
  doi = {10.11648/j.ml.20220802.13},
  url = {https://doi.org/10.11648/j.ml.20220802.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20220802.13},
  abstract = {This paper is devoted to obtain fixed point results. Fixed point theory is very wide field which have many application in different areas. The concept of altering distance to find fixed point results have been explored by many authors. In the present paper the author state altering distance function and ultra-altering distance function and the coincidence point for two self-mappings that satisfy the (CLRST) - property with the help of altering distance function and ultra-altering distance function in the context of b-metric spaces and achieve a unique common fixed point for two weakly compatible pairs. Many discoveries can also be derived from these main results in the framework of metric spaces.},
 year = {2022}
}

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TY  - JOUR
T1  - Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space
AU  - Soressa Wakesa Bekana
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DO  - 10.11648/j.ml.20220802.13
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
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PB  - Science Publishing Group
SN  - 2575-5056
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AB  - This paper is devoted to obtain fixed point results. Fixed point theory is very wide field which have many application in different areas. The concept of altering distance to find fixed point results have been explored by many authors. In the present paper the author state altering distance function and ultra-altering distance function and the coincidence point for two self-mappings that satisfy the (CLRST) - property with the help of altering distance function and ultra-altering distance function in the context of b-metric spaces and achieve a unique common fixed point for two weakly compatible pairs. Many discoveries can also be derived from these main results in the framework of metric spaces.
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Author Information

Soressa Wakesa Bekana

Department of Mathematics, College of Natural and Computational Science, Wollega University, Nekemte, Ethiopia

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APA Style

Soressa Wakesa Bekana. (2022). Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Mathematics Letters, 8(2), 37-42. https://doi.org/10.11648/j.ml.20220802.13

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ACS Style

Soressa Wakesa Bekana. Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Math. Lett. 2022, 8(2), 37-42. doi: 10.11648/j.ml.20220802.13

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AMA Style

Soressa Wakesa Bekana. Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space. Math Lett. 2022;8(2):37-42. doi: 10.11648/j.ml.20220802.13

Copy | Download

@article{10.11648/j.ml.20220802.13,
  author = {Soressa Wakesa Bekana},
  title = {Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space},
  journal = {Mathematics Letters},
  volume = {8},
  number = {2},
  pages = {37-42},
  doi = {10.11648/j.ml.20220802.13},
  url = {https://doi.org/10.11648/j.ml.20220802.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20220802.13},
  abstract = {This paper is devoted to obtain fixed point results. Fixed point theory is very wide field which have many application in different areas. The concept of altering distance to find fixed point results have been explored by many authors. In the present paper the author state altering distance function and ultra-altering distance function and the coincidence point for two self-mappings that satisfy the (CLRST) - property with the help of altering distance function and ultra-altering distance function in the context of b-metric spaces and achieve a unique common fixed point for two weakly compatible pairs. Many discoveries can also be derived from these main results in the framework of metric spaces.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Common Fixed Point Theorem for Four Self-Maps Satisfying (CLRST) Property for Generalized (ψ, φ) –Weakly Contraction in B-metric Space
AU  - Soressa Wakesa Bekana
Y1  - 2022/12/08
PY  - 2022
N1  - https://doi.org/10.11648/j.ml.20220802.13
DO  - 10.11648/j.ml.20220802.13
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 37
EP  - 42
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20220802.13
AB  - This paper is devoted to obtain fixed point results. Fixed point theory is very wide field which have many application in different areas. The concept of altering distance to find fixed point results have been explored by many authors. In the present paper the author state altering distance function and ultra-altering distance function and the coincidence point for two self-mappings that satisfy the (CLRST) - property with the help of altering distance function and ultra-altering distance function in the context of b-metric spaces and achieve a unique common fixed point for two weakly compatible pairs. Many discoveries can also be derived from these main results in the framework of metric spaces.
VL  - 8
IS  - 2
ER  -

Copy | Download