A Generalization of Kannan's fixed point theorem

Fixed Point Theory and Applications

Volumn 2009, Issue , 2009, Pages 1-10

  Enjouji, Yusuke ^a   Nakanishi, Masato ^a   Suzuki, Tomonari ^a  

^a KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68349105161     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/2009/192872     Document Type: Article

References (9)

1. R. Kannan, "Some results on fixed points. II," American Mathematical Monthly, vol. 76, pp. 405-408, 1969.
2. S. Banach, "Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales," Fundamenta Mathematicae, vol. 3, pp. 133-181, 1922.
3. P. V. Subrahmanyam, "Completeness and fixed-points," Monatshefte für Mathematik, vol. 80, no. 4, pp. 325-330, 1975.
4. M. Kikkawa and T. Suzuki, "Three fixed point theorems for generalized contractions with constants in complete metric spaces," Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 9, pp. 2942-2949, 2008.
5. T. Suzuki, "A generalized Banach contraction principle that characterizes metric completeness," Proceedings of the American Mathematical Society, vol. 136, no. 5, pp. 1861-1869, 2008.
6. T. Suzuki, "Fixed point theorems and convergence theorems for some generalized nonexpansive mappings," Journal of Mathematical Analysis and Applications, vol. 340, no. 2, pp. 1088-1095, 2008.
7. T. Suzuki and M. Kikkawa, "Some remarks on a recent generalization of the Banach contraction principle," in Proceedings of the 8th International Conference on Fixed Point Theory and Its Applications (ICFPTA '08), S. Dhompongsa, K. Goebel, W. A. Kirk, S. Plubtieng, B. Sims, and S. Suantai, Eds., pp. 151-161, Yokohama, Chiang Mai, Thailand, July 2008.
8. T. Suzuki and C. Vetro, "Three existence theorems for weak contractions of Matkowski type," International Journal of Mathematics and Statistics, vol. 6, supplement 10, pp. 110-120, 2010.
9. M. Kikkawa and T. Suzuki, "Some similarity between contractions and Kannan mappings," Fixed Point Theory and Applications, vol. 2008, Article ID 649749, 8 pages, 2008.