|
Fixed point theorems in ordered -spaces
Author(s):
Adrian
Petrusel;
Ioan
A.
Rus
Journal:
Proc. Amer. Math. Soc.
134
(2006),
411-418.
MSC (2000):
Primary 47H10;
Secondary 54H25, 15A24
Posted:
August 25, 2005
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
The purpose of this paper is to present some fixed point results in ordered L-spaces. Our results generalize and extend a recent result of Ran and Reurings (2004). Some applications to matrix equations are also considered.
References:
-
- 1.
- T. A. Burton, Integral equations, implicit functions and fixed points, Proc. A.M.S., 124:2393-2390, 1996. MR 1346965 (96j:45001)
- 2.
- E. De Pascale, G. Marino and P. Pietromala, The use of the E-metric spaces in the search for fixed points, Le Mathematiche, 48:367-376, 1993. MR 1320676 (95m:54037)
- 3.
- M. Fréchet, Les espaces abstraits, Gauthier-Villars, Paris, 1928. MR 1189135 (93g:01098)
- 4.
- O. Hadzic, E. Pap and V. Radu, Generalized contraction mapping principles in probabilistic metric spaces, Acta Math. Hungar., 101:131-138, 2003. MR 2011468 (2004i:54052)
- 5.
- O. Hadzic and E. Pap, Fixed point theory in probabilistic metric spaces, Kluwer Acad. Publ., Dordrecht, 2001. MR 1896451 (2003a:47113)
- 6.
- W. A. Kirk, B. Sims (editors), Handbook of metric fixed point theory, Kluwer Acad. Publ., Dordrecht, 2001. MR 1904271 (2003b:47002)
- 7.
- J. Merryfield and J. D. Stein, A generalization of the Banach contraction principle, J. Math. Anal. Appl., 273:112-120, 2002. MR 1933019 (2003g:54100)
- 8.
- A. Petrusel, Multivalued weakly Picard operators and applications, Scienticae Mathematicae Japonicae, 59:167-202, 2004. MR 2027745 (2004j:47101)
- 9.
- A. C. M. Ran and M.C. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. A.M.S., 132:1435-1443, 2004. MR 2053350 (2005a:47112)
- 10.
- I. A. Rus, Generalized contractions and applications, Cluj Univ. Press, 2001. MR 1947742 (2004f:54043)
- 11.
- I. A. Rus, Picard operators and applications, Scientia Mathematicae Japonicae, 58:191-219, 2003. MR 1987831 (2004m:47142)
- 12.
- I. A. Rus, A. Petrusel, and G. Petrusel, Fixed point theory 1950-2000: Romanian contributions, House of the Book of Science, Cluj-Napoca, 2002. MR 1947195 (2003h:47104)
- 13.
- P. P. Zabreiko, K-metric and K-normed linear spaces: survey, Collect. Math., 48:825-859, 1997. MR 1602605 (99a:46010)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
47H10,
54H25, 15A24
Retrieve articles in all Journals with MSC
(2000):
47H10,
54H25, 15A24
Additional Information:
Adrian
Petrusel
Affiliation:
Department of Applied Mathematics, Babes-Bolyai
University Cluj-Napoca, Kogalniceanu 1, 400084,
Cluj-Napoca, Romania
Email:
petrusel@math.ubbcluj.ro
Ioan
A.
Rus
Affiliation:
Department of Applied Mathematics, Babes-Bolyai
University Cluj-Napoca, Kogalniceanu 1, 400084,
Cluj-Napoca, Romania
Email:
iarus@math.ubbcluj.ro
DOI:
10.1090/S0002-9939-05-07982-7
PII:
S 0002-9939(05)07982-7
Received by editor(s):
June 18, 2004
Received by editor(s) in revised form:
September 1, 2004
Posted:
August 25, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|