The week's pick
Random Articles
Reseach Article
Semi-compatibility in Non-Archimedean Fuzzy Metric spaces
by
Seema Mehra,
Renu Chugh
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 41 - Number 8 |
| Year of Publication: 2012 |
| Authors: Seema Mehra, Renu Chugh |
10.5120/5560-7635
|
Seema Mehra, Renu Chugh . Semi-compatibility in Non-Archimedean Fuzzy Metric spaces. International Journal of Computer Applications. 41, 8 ( March 2012), 12-17. DOI=10.5120/5560-7635
@article{
10.5120/5560-7635,
author = {
Seema Mehra,
Renu Chugh
},
title = { Semi-compatibility in Non-Archimedean Fuzzy Metric spaces },
journal = {
International Journal of Computer Applications
},
issue_date = { March 2012 },
volume = { 41 },
number = { 8 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = {
12-17
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume41/number8/5560-7635/
},
doi = { 10.5120/5560-7635 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:29:03.753648+05:30
%A Seema Mehra
%A Renu Chugh
%T Semi-compatibility in Non-Archimedean Fuzzy Metric spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 8
%P 12-17
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The purpose of this paper is to prove a common fixed point theorem for six self maps using the concept of semi-compatibility and weak compatibility of pair of self maps in Non- Archimedean fuzzy metric space.
References
- A. George and P. Veeramani, 1994. On some results in fuzzy metric space, Fuzzy Sets and Systems, vol. 64, 395-399.
- B. Schweizer, H. Sherwood, and R. M. Tardi®,1988. Contractions on PMspace examples and counter examples, Stochastica vol. 1, 5–17.
- D. Mihet, 2004. A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems, vol. 144, 431–439.
- D. Mihet, 2008. Fuzzy -contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems vol. 159, 739 – 744.
- G. L. Cain Jr. and R. H. Kasreil, 1976. Fixed and periodic points of local contraction mappings on probabilistic metric spaces, Math. Systems Theory, vol. 9, 289-297.
- I. Kramosil and J. Michalek, 1975. Fuzzy metric and statistical metric spaces, Kybernetica, vol. 11, 326-334.
- I. Istratescu, 1985. On some fixed point theorems for mappings on non-Archimedean probabilistic metric spaces, Seminarual de Teoria probabilistic tatiler si. applicatii. ,vol. 73, 1-11.
- L. A. Zadeh, 1965. Fuzzy Sets, Information and Control, vol. 8, 338-353.
- L. A. Zadeh, 1969. Biological application of the theory of fuzzy sets and systems, in: Proc. Int. Symp. Biocybernetics of the Central Nerous System (Little, Brown & Co. , Boston) 199–212.
- M. S. El Naschie, 1998. On the uncertainty of Cantorian geometry and two-slit experiment,Chaos, Solitons and Fractals vol. 9, 517–529.
- M. S. El Naschie, 2004. A review of E-infinity theory and the mass spectrum of high energy particle physics, Chaos, Solitons and Fractals vol. 19, 209–236.
- M. S. El Naschie, 2005. On a fuzzy Kahler-like Manifold which is consistent with two-slit experiment, Int. J. of Nonlinear Science and Numerical Simulation, vol. 6, 95–98.
- V. Gregori and A. Sapena, 2002. On fixed-point theorem in fuzzy metric spaces, Fuzzy Sets and Systems, vol. 125, 245–252.
- Y. Tanaka, Y. Mizno, and T. Kado, 2005. Chaotic dynamics in Friedmann equation, Chaos, Solitons and Fractals vol. 24, 407–422.
- S. S. Chang, 1985. On the theory of probabilistic metric spaces with applications, Acta Math. Sinica, New Series, vol. 1, issue 4, 366-377.
- S. S. Chang, 1983. Fixed point theorems for generalized Meir-Keeler Type mappings, J. Sichuan Univ. , Natural Sci. Edition, vol. 2, 17-23.
Index Terms
Computer Science
Information Sciences
Keywords