Full Paper View Go Back

A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces

C. S. Chauhan1

Section:Review Paper, Product Type: Isroset-Journal
Vol.1 , Issue.1 , pp.41-46, Feb-2014


Online published on Dec 17, 2014


Copyright © C. S. Chauhan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: C. S. Chauhan, “A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.1, Issue.1, pp.41-46, 2014.

MLA Style Citation: C. S. Chauhan "A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 1.1 (2014): 41-46.

APA Style Citation: C. S. Chauhan, (2014). A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 1(1), 41-46.

BibTex Style Citation:
@article{Chauhan_2014,
author = {C. S. Chauhan},
title = {A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2014},
volume = {1},
Issue = {1},
month = {2},
year = {2014},
issn = {2347-2693},
pages = {41-46},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=161},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=161
TI - A Review and Study of Coupled and Tripled Fixed Point Theory in Partially Ordered Metric Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - C. S. Chauhan
PY - 2014
DA - 2013/12/17
PB - IJCSE, Indore, INDIA
SP - 41-46
IS - 1
VL - 1
SN - 2347-2693
ER -

3497 Views    3336 Downloads    3205 Downloads
  
  

Abstract :
The aim of this paper is to present a review study of coupled and tripled fixed point in partially ordered complete metrics spaces. A.A.Harandi introduced a new simple and unified approach to coupled and tripled fixed point theory . Our results are review results of A.A.Harandi.

Key-Words / Index Term :
Fixed Point, Tripled Fixed Point Metric Spaces

References :
[1]. A.C.M. Ran , M.C.B. Reuring, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2004) 1435-1443 .
[2]. R.P. Agrawal, M.A. EI-GEbeily, D. O’Regan, Generalized contractions in partially ordered metric spaces, Appl. Anal. 87(2008) 1-8.
[3]. Gnana Bhaskar, V. Lakshmikanthan, Fixed point theorem in partially ordered metric spaces, Appl. Anal.87(2008) 1-8.
[4]. V. Lakshmikanthan, L. Ciric, Coupled fixed point theorem for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70(2009) 4341-4349.
[5]. J.J. Nietro, R.R.Lopeez, contractive mapping theorem in partially ordered set and applications to ordinary differential equations, order 22 (2005) 223-239.
[6]. J.J. Nietro, R.R.Lopeez, Existence and uniqueness and fixed point in partially ordered set and applications to ordinary differential equations, Acta Math. Sinica, Engl. Ser. 23(12) (2007) 2205-2212.
[7]. N. Van Luang, N. Xuan Thuan, coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74(2011) 983-992
[8]. B. Samet, C. Vetro, Coupled fixed points, F- invariant set and fixed point of N-order, Ann. Func. Anal.1(2010) 46-56.
[9]. M. Borcut, V. Berrinde, Tripled fixed point theorem for contractive type mapping in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 4889-4897.
[10]. L.B.Ciric, A generalization of Babach’s contraction principle Amer. Math. Soc. 45 (1974) .
[11]. V. Berinde, Generalized coupled fixed point theorem for mixed monotone mapping in partially ordered metric spaces, Nonlinear Anal. 74 ( 2011) 7347-7355.
[12]. E. Hille, R.S. Phillips, Functional Analysis and Semigroups, In :Amer. Math. Society Colloquium Publications, Vol.13, Amer. Math. Society, Providence, RI, 1957.
[13]. A.A. Harandi : Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem, Math. And Comp. Modelling 57(2013) 2343-2348.
[14]. Babach, S. Surles, Operations dabseles ensembles abstracts at leur applications and equations integrals, Fund. Math Sci. 3(1992).

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation