Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space

Harpreet Kaur; Saurabh Manro

doi:doi:10.11648/j.pamj.20150404.13

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Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space

Harpreet Kaur, Saurabh Manro

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 4)

Received: 8 June 2015 Accepted: 18 June 2015 Published: 28 July 2015

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Abstract

In this paper, using the concept of occasionally weakly compatible maps, we prove common fixed point theorems for two maps and pairs of maps in intuitionistic fuzzy semi-metric space. Example is also given to prove the validity of proved results. Our results extends and generalizes various known fixed point theorems in the setting of metric, fuzzy, intuitionistic fuzzy and modified fuzzy metric spaces.

Published in	Pure and Applied Mathematics Journal (Volume 4, Issue 4)
DOI	10.11648/j.pamj.20150404.13
Page(s)	155-158
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), 2015. Published by Science Publishing Group

Keywords

Intuitionistic Fuzzy Semi- Metric Space, Occasionally Weakly Compatible Maps, Weakly Compatible Maps

References

[1]	C. Alaca, D. Turkoglu, and C. Yildiz, Fixed points in intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 29(2006), 1073-1078.
[2]	K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and System, 20(1986), 87-96.
[3]	H. Chandra and A. Bhatt, Fixed point theorems for occasionally weakly compatible maps in probabilistic semi-metric space, Int, Journal of Math. Analysis, 3(12)(2009), 563-570.
[4]	G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly, 83(1976), 261-263.
[5]	G. Jungck and B. E. Rhoades, Fixed point Theorems for occasionally weakly compatible mappings, Fixed point theory, 7(2006), 286-296.
[6]	I. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11(1975), 326-334.
[7]	S. Manro, S. Kumar and S. Singh, Common fixed point theorems in intuitionistic fuzzy metric spaces, Applied Mathematics,1(2010), 510-514.
[8]	S. Manro, S. S. Bhatia and S. Kumar, Common fixed point theorems for weakly compatible maps satisfying common (E.A.) property in intuitionistic fuzzy metric spaces using implicit relation, Journal of Advanced Studies in Topology, 3(2) (2012), 38-44.
[9]	S. Manro, H. Bouharjera and S. Singh, A common fixed point theorem in intuitionistic fuzzy metric space by using sub-compatible maps, Int. J. Contemp. Math. Sciences, 5(55) (2010) 2699 – 2707.
[10]	S. Manro, S. S. Bhatia and S. Kumar, Common fixed point theorem for weakly compatible maps satisfying E.A. property in intuitionistic fuzzy metric spaces, Punjab University Journal of Mathematics, 42(2010), 51-56.
[11]	S. Manro, Common fixed point theorem in intuitionistic fuzzy metric spaces using strict contractive condition, International Journal of Engineering and Technology, 2(1)(2012) 61-66.
[12]	S. Manro, S. Kumar and S.S. Bhatia, Common fixed point theorems in intuitionistic fuzzy metric spaces using occasionally weakly compatible maps, J. Math. Comput. Sci. , 2(2) (2012), 73-81.
[13]	J. H. Park, Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 22(2004), 1039-1046.
[14]	D. Turkoglu, C. Alaca and C. Yildiz, Common fixed point theorems of compatible maps in intuitionistic fuzzy metric spaces, Southeast Asian Bulletin of Mathematics, 32(2008), 21-33.

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APA Style

Harpreet Kaur, Saurabh Manro. (2015). Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure and Applied Mathematics Journal, 4(4), 155-158. https://doi.org/10.11648/j.pamj.20150404.13

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ACS Style

Harpreet Kaur; Saurabh Manro. Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure Appl. Math. J. 2015, 4(4), 155-158. doi: 10.11648/j.pamj.20150404.13

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AMA Style

Harpreet Kaur, Saurabh Manro. Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure Appl Math J. 2015;4(4):155-158. doi: 10.11648/j.pamj.20150404.13

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@article{10.11648/j.pamj.20150404.13,
  author = {Harpreet Kaur and Saurabh Manro},
  title = {Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {4},
  pages = {155-158},
  doi = {10.11648/j.pamj.20150404.13},
  url = {https://doi.org/10.11648/j.pamj.20150404.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150404.13},
  abstract = {In this paper, using the concept of occasionally weakly compatible maps, we prove common fixed point theorems for two maps and pairs of maps in intuitionistic fuzzy semi-metric space. Example is also given to prove the validity of proved results. Our results extends and generalizes various known fixed point theorems in the setting of metric, fuzzy, intuitionistic fuzzy and modified fuzzy metric spaces.},
 year = {2015}
}

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TY  - JOUR
T1  - Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space
AU  - Harpreet Kaur
AU  - Saurabh Manro
Y1  - 2015/07/28
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150404.13
DO  - 10.11648/j.pamj.20150404.13
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 155
EP  - 158
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150404.13
AB  - In this paper, using the concept of occasionally weakly compatible maps, we prove common fixed point theorems for two maps and pairs of maps in intuitionistic fuzzy semi-metric space. Example is also given to prove the validity of proved results. Our results extends and generalizes various known fixed point theorems in the setting of metric, fuzzy, intuitionistic fuzzy and modified fuzzy metric spaces.
VL  - 4
IS  - 4
ER  -

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Author Information

Harpreet Kaur

Department of Mathematics, Desh Bhagat University, Mandi Gobindgarh, India
Saurabh Manro

School of Mathematics and Computer Applications, Thapar University, Patiala, India

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APA Style

Harpreet Kaur, Saurabh Manro. (2015). Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure and Applied Mathematics Journal, 4(4), 155-158. https://doi.org/10.11648/j.pamj.20150404.13

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ACS Style

Harpreet Kaur; Saurabh Manro. Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure Appl. Math. J. 2015, 4(4), 155-158. doi: 10.11648/j.pamj.20150404.13

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AMA Style

Harpreet Kaur, Saurabh Manro. Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space. Pure Appl Math J. 2015;4(4):155-158. doi: 10.11648/j.pamj.20150404.13

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@article{10.11648/j.pamj.20150404.13,
  author = {Harpreet Kaur and Saurabh Manro},
  title = {Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {4},
  pages = {155-158},
  doi = {10.11648/j.pamj.20150404.13},
  url = {https://doi.org/10.11648/j.pamj.20150404.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150404.13},
  abstract = {In this paper, using the concept of occasionally weakly compatible maps, we prove common fixed point theorems for two maps and pairs of maps in intuitionistic fuzzy semi-metric space. Example is also given to prove the validity of proved results. Our results extends and generalizes various known fixed point theorems in the setting of metric, fuzzy, intuitionistic fuzzy and modified fuzzy metric spaces.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Fixed Point Theorems for Occasionally Weakly Compatible Maps in Intuitionistic Fuzzy Semi- Metric Space
AU  - Harpreet Kaur
AU  - Saurabh Manro
Y1  - 2015/07/28
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150404.13
DO  - 10.11648/j.pamj.20150404.13
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 155
EP  - 158
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150404.13
AB  - In this paper, using the concept of occasionally weakly compatible maps, we prove common fixed point theorems for two maps and pairs of maps in intuitionistic fuzzy semi-metric space. Example is also given to prove the validity of proved results. Our results extends and generalizes various known fixed point theorems in the setting of metric, fuzzy, intuitionistic fuzzy and modified fuzzy metric spaces.
VL  - 4
IS  - 4
ER  -

Copy | Download