Czasopismo
2007
|
Vol. 40, nr 3
|
649-658
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The new concept of weak commutativity of type (KB) is used to prove some fixed point theorems for set and single-valued mappings. We show that continuity of any mapping is not necessary for the existence of common fixed point. We also show that completeness of the whole space can be replaced by a weaker condition.
Czasopismo
Rocznik
Tom
Strony
649-658
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
autor
- Department of Mathematics Madhar Vigyan Mahavidhylay Vjjain (M.P.) India, sksharma2005@yahoo.com
Bibliografia
- [1] T. H. Chang, Fixed point theorems of contractive type set valued mappings, Math. Japonica 38 No. 4 (1993), 675-690.
- [2] B. Fisher, Common fixed points of mappings and set valued mappings on a metric space, Kyungpook Math. J. 25 (1985), 35-42.
- [3] B. Fisher and S. Sessa, Two common fixed point theorems for weakly commuting mappings, Periodica Math. Hungarica 20(3) (1989), 207-218.
- [4] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
- [5] G. Jungck and B. E. Rhoades, Some fixed point theorems for compatible maps, Internat. J. Math. & Math. Sci. 16(3) (1993), 417-428.
- [6] G. Jungck and B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 16(3) (1998), 227-228.
- [7] I. Kubiaczyk and B. Deshpande, Noncompatibility, discontinuity in consideration of common fixed point of set and single-valued maps, Southeast Asian Bull. of Math. accepted for publication.
- [8] S. Krzyśka and I. Kubiaczyk, Fixed point theorems for upper semicontinuous and weakly- weakly upper semicontinuous multivalued mappings, Math. Japonica 47(2) (1998), 237-240.
- [9] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
- [10] R. P. Pant, Common fixed point theorems for contractive maps, J. Math. Anal. Appl. 226 (1998), 251-258.
- [11] R. P. Pant, Common fixed points of Lipschitz type mappings pair, J. Math. Anal. Appl. 240 (1999), 280-283.
- [12] R. P. Pant, Discontinuity and fixed points, J. Math. Anal. Appl. 240 (1999), 284-289.
- [13] H. K. Pathak, Y. J. Cho and Kang, Remarks on R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 34 (1997), 247-257.
- [14] R. A. Rashwan and M. A. Ahmed, Common fixed points for weakly compatible mappings, Italian J. Pure and Appl. Math. (8) (2000), 35-44.
- [15] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) 32(46) (1982), 149-153.
- [16] S. Sessa amd M. S. Khan, Some remarks in best approximation theory, Math. J. Toyoma Univ. 17 (1994), 151-165.
- [17] K. Tas, M. Telki and B. Fisher, Common fixed point theorems for compatible mappings, Internat J. Math. and Math. Sci. 19(3) (1996), 451-456.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0035-0014