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Abstrakty
In this paper, a common fixed point theorem for two pairs of weakly compatible mappings satisfying Altman integral type contraction in a metric space is proved. Our result extends and improves several known results.
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Czasopismo
Rocznik
Tom
Strony
143--162
Opis fizyczny
Bibliogr. 16 poz.
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autor
autor
- School of Studies in Mathematics PT. Ravishankar Shukla University Raipur (G.G) 492010, India, hkpathak05@gmail.com
Bibliografia
- [1] M. Altman, An integral test for series and generalized contractions, Amer. Math. Monthly 82 (1975), 827-829.
- [2] A. Carbone, S. P. Singh, Fixed points for Altman type mappings, Indian J. Pure Appl. Math. 18 (1987), 1082-1087.
- [3] A. Carbone, B. E. Rhoades, S. P. Singh, A fixed point theorem for generalized contraction map, Indian J. Pure Appl. Math. 20 (1989), 543-548.
- [4] M. Imdad, A. S. Kumar, M. S. Khan, Remarks on some fixed point theorems satisfying implicit relations, Rad. Mat. 11 (2002), 135-143.
- [5] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779.
- [6] G. Jungck, Fixed points for set-valued functions without continuity, Indian J. Pure Appl. Math. 29 (3) (1998), 227-238.
- [7] G. Jungck, P. P. Murthy, Y. J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japon. 38 (2) (1993), 381-390.
- [8] R. P. Pant, Common fixed points for non-commuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
- [9] H. K. Pathak, Y. J. Cho, S. M. Kang, B. S. Lee, Fixed point theorems for compatible mappings of type (P) and applications to dynamic programming, Le Mathematische 50 (1995), 15-33.
- [10] V. Popa, On general common fixed point theorem of Meir-Keeler type for non-continuous weak compatible mappings, Filomat(Nis) 18 (2004), 33-40.
- [11] V. Popa, H. K. Pathak, Common fixed point theorems for compatible mappings and compatible mappings of type (A), Matematica. Bech. 49 (1997), 109-114.
- [12] B. E. Rhoades, B.Watson, Generalized contractions and fixed points in metric spaces, Math. Japon. 6 (1989), 975-982.
- [13] D. R. Sahu, C. L. Dewangan, Compatible of type (A) and common fixed points, Banyan Math. J. 1 (1994), 49-57.
- [14] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46) (1982), 149-153.
- [15] S. Sessa, B. Fisher, Common fixed points of weakly-commuting mappings, Bull. Acad. Polon. Ser. Math. 35 (1987), 341-349.
- [16] B. Watson, B. A. Meade, C. W. Norris, A note on theorem of Altman, Indian J. Pure Appl. Math. 17 (1986), 1082-1087.
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Bibliografia
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bwmeta1.element.baztech-article-PWA3-0051-0013