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Common Fixed Point Theorem with Refined Condition of Weak Contraction by Generalized Altering Distance Function

by P. L. Powar, G. R. K. Sahu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 2
Year of Publication: 2013
Authors: P. L. Powar, G. R. K. Sahu
10.5120/11814-7485

P. L. Powar, G. R. K. Sahu . Common Fixed Point Theorem with Refined Condition of Weak Contraction by Generalized Altering Distance Function. International Journal of Computer Applications. 69, 2 ( May 2013), 19-22. DOI=10.5120/11814-7485

@article{ 10.5120/11814-7485,
author = { P. L. Powar, G. R. K. Sahu },
title = { Common Fixed Point Theorem with Refined Condition of Weak Contraction by Generalized Altering Distance Function },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 2 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 19-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number2/11814-7485/ },
doi = { 10.5120/11814-7485 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:29:40.937814+05:30
%A P. L. Powar
%A G. R. K. Sahu
%T Common Fixed Point Theorem with Refined Condition of Weak Contraction by Generalized Altering Distance Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 2
%P 19-22
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present paper, the authors have obtained a unique fixed point theorem for four maps using generalized altering distance function in four variables by considering a refined form of weak contraction than the form used in Theorem 2. 1 of [17] which reduces the computational part quite significantly.

References
  1. Abbas, M. , Ali Khan, M. , Common fixed point theorem of two mappings satisfying a generalized weak contractive conditions. Int. J. Math. Sci. 2009, 9 Article ID 131068 (2009).
  2. Agarwal, R. P. , El-Gebeily, M. A. , O'Regan, D. , Generalized contractions in partially ordered metric space. Appl. Anal. 87, 109-116 (2008).
  3. Alber, YaI, Guerre-Delabriere, S. , Principles of weakly contractive maps in Hilber spaces. Oper Theory. Adv. Appl. 98, 7-22 (1997).
  4. Babu, G. V. R. and Shaik Ismail, A fixed point theorem by altering distances, Bull Cal. Math Soc, 93(5), 393-398, (2001).
  5. Babu, G. V. R. Generalization of fixed point theorems relating to the diameter of orbits by using a control function, Tamkang J. Math, 35(2), 159-168 (2004).
  6. Banach, S. , Surles operations dans les ensembles abstraits et leur application aux equationsitegrales, Fund. Math. , 3, 133-181, (1922).
  7. Choudhury, B. S. , A common unique fixed point result in metric spaces involving generalized altering distances, Math. Commun. 10, 105-110 (2005).
  8. Choudhury, B. S. and Dutta, P. N. , A unified fixed point result in metric spaces involving a two variable function, Filomat, 14, 43-48 (2000).
  9. Dutta, P. N. , Choudhury, B. S. , A generalization of contraction principles in metric spaces, Fixed Point Theory Appl. 2008, 8 Article ID 406368 (2008).
  10. Fisher, B. , A common fixed point theorem for commuting mappings, Math. Sem. Notes, 7, 297-300, (1979).
  11. Jungck, G. , Murthy, P. P. , Cho, Y. J. , Compatible mappings of type (A) and common fixed points, Math. Japonica, 38, 381-390, (1993).
  12. Khan, M. S. , Swalesh, M. Sessa, S. , Fixed point theorems by altering distances between the points. Bull. Aust. Math. Soc. 30, 1-9 (1984).
  13. Murthy, P. P. , Important tools and possible applications of metric fixed point theory, Nonlinear analysis 47, 3479-3490 (2001).
  14. Murthy, P. P. , Cho, Y. J. , Fisher, B. , Common fixed points of Gregus type mappings, Glasnik Mathematicki, 30, 335-341, (1995).
  15. O'Regan, D. , Petrusel, A. , Fixed point theorems for generalize contractions in ordered metric spaces. J. Math. Anal Appl. 341, 1241-1252 (2008).
  16. Pathak, H. K, Cho, Y. J. , Kang, S. M. , Remarks on R-weakly commuting mappings and Common fixed point theorem, Bull. Korean Math. Soc. , 34, 247-257, (1997).
  17. Rao, K. P. R. , Babu A. Som, Babu D Vasu, Common fixed points through Generalized altering distance function. Intenational mathematical forum, 2, no. 65, 3233-3239, (2007).
  18. Rhoades, B. E. , Some theorems on weakly contractive maps, Nonlinear Anal, 47, 2683-2693 (2001).
  19. Sastry K. P. R. , Naidu, S. V. R, Babu, G. V. R. and Naidu, G. A. , Generalization of common fixed point theorems for weakly commuting maps by altering distances. Tamkang J Math 31, 243-250 (2000).
  20. Sastry K. P. R. and Babu, G. V. R. , Some fixed point theorems by altering distances between the points, Indian J. Pure Appl. Math. 30(6), 641-647 (1999).
  21. Sastry, K. P. R. and Babu, G. V. R. . Fixed point theorems in metric spaces by altering distances, Bull. Cal. Math. Soc. 90, 175-182 (1998).
  22. Zhang, Q. , Song, Y, Fixed point theory for generalized –weakly contraction. Appl. Math. Lett. 22, 75-78, (2009).
Index Terms

Computer Science
Information Sciences

Keywords

Fixed point compatible of type (P) or mappings Altering distance function weak contraction

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