Czasopismo
2013
|
Vol. 46, nr 2
|
405--413
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The aim of the present paper is to obtain common fixed point theorems under a strict contractive condition by assuming minimal commutativity conditions. Our theorems extend the results due to Pant and Pant [4]. In the setting of our results, we also provide pair of mappings which ensures the existence of a common fixed point; however, both the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades [10]. In the last section, we apply our results to solve an eigenvalue problem.
Czasopismo
Rocznik
Tom
Strony
405--413
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- DA - 81 F, Hari Nagar, New Delhi - 110064, India, vyomeshpant@yahoo.co.in
Bibliografia
- [1] M. Aamri, D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181–188.
- [2] A. R. Khan, A. A. Domlo, Common Fixed Points of Weekly Compatible Maps on Balls and Applications, Technical Report Series, TR 336, October 2005, King Fahd University of Petroleum and Minerals.
- [3] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Sci. 9 (1986), 771–779.
- [4] R. P. Pant, V. Pant, Common fixed point under strict contractive conditions, J. Math. Anal. Appl. 248 (2000), 327–332.
- [5] R. P. Pant, V. Pant, K. Jha, Note on common fixed point under strict contractive conditions, J. Math. Anal. Appl. 274 (2002), 879–880.
- [6] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436–440.
- [7] R. P. Pant, Discontinuity and fixed points, J. Math. Anal. Appl. 240 (1999), 284–289.
- [8] V. Pant, R. P. Pant, Common fixed points of conditionally commuting maps, Fixed Point Theory 11(1) (2010), 113–118.
- [9] H. K. Pathak, Y. J. Cho, S. M. Kang, Remarks on R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 34 (1997), 247–257.
- [10] B. E. Rhoades, Contractive definitions and continuity, Contemp. Math. 72 (1988), 233–245.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-e0fe80a2-ae94-4784-90d1-19d537bea714