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Abstrakty
In the present paper we obtain a common fixed point theorem under a new contractive condition which is independent of the known contractive definitions. In the second fixed point theorem we study the dynamics of a class of functions induced by real numbers and then apply the result to obtain general tests for divisibility of numbers.
Wydawca
Czasopismo
Rocznik
Tom
Strony
199--206
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Department of Mathematics, Statistics and Computer Science, G. B. Pant University of Agriculture and Technology, Pantnagar 263145, Uttaranchal, India
Bibliografia
- [1] S. Bernard and J. M. Child, Higher Algebra, Macmillan India Limited, 1994, Delhi.
- [2] J. Jachymski, Common fixed point theorems for some families of maps, Indian J. Pure Appl. Math. 25 (1994), 925-937.
- [3] J. Jachymski, Equivalent conditions and Meir-Keeler type theorems, J. Math. Anal. Appl. 194 (1995), 293-303.
- [4] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
- [5] G. Jungck, K. B. Moon, S. Park and B. E. Rhoades, On generalization of the Meir-Keeler type contraction maps: Corrections, J. Math. Anal. Appl. 180 (1993), 221-222.
- [6] H. S. Hall and R. S. Knight, Higher Algebra, Macmillan India Limited, 1987, Madras.
- [7] R.A. Holmgren, A First Course in Discrete Dynamical Systems, Springer Verlag, New York, 1994.
- [8] M. Maiti and T. K. Pal, Generalization of two fixed point theorems, Bull. Calcutta Math. Soc. 70 (1978), 57-61.
- [9] R. P. Pant, Common fixed points of weakly commuting mappings, Indian J. Pure. Appl. Math. 17 (1986), 187-192.
- [10] R. P. Pant, Common fixed points of weakly commuting mappings, Math. Student 62 (1993), 97-102.
- [11] R. P. Pant, A contraction principle for four mappings, J. Indian Math. Soc. 66 (to appear).
- [12] R. P. Pant, Discontinuity at fixed points, Ganita 51 (2000), 134-142.
- [13] R. P. Pant, P. C. Joshi and V. Gupta, A Meir-Keeler type fixed point theorem, Indian J. Pure. Appl. Math. 32 (2001), 779-787.
- [14] S. Park and J. S. Bae, Extension of a fixed point theorem of Meir-Keeler, Ark. Math. 19 (1981), 223-228.
- [15] S. Park and B. E. Rhoades, Meir-Keeler type contractive conditions, Math. Japonica 26 (1981), 13-20.
- [16] B. M. Stewart, Theory of Numbers, Macmillan, 1964, New York.
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Bibliografia
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bwmeta1.element.baztech-article-PWA3-0006-0020