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Fixed-point theorems for families of weakly non-expansive maps
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2007, Vol. 334 Issue 2, p932-949. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we present some fixed-point theorems for families of weakly non-expansive maps under some relatively weaker and more general conditions. Our results generalize and improve several results due to Jungck [G. Jungck, Fixed points via a generalized local commutativity, Int. J. Math. Math. Sci. 25 (8) (2001) 497–507], Jachymski [J. Jachymski, A generalization of the theorem by Rhoades and Watson for contractive type mappings, Math. Japon. 38 (6) (1993) 1095–1102], Guo [C. Guo, An extension of fixed point theorem of Krasnoselski, Chinese J. Math. (P.O.C.) 21 (1) (1993) 13–20], Rhoades [B.E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977) 257–290], and others. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*SCIENCE
*CYBERNETICS
*MATHEMATICAL economics
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 334
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25488779
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.01.016