An observation on Kannan mappings
Masato Nakanishi; Tomonari Suzuki
Open Mathematics (2010)
- Volume: 8, Issue: 1, page 170-178
- ISSN: 2391-5455
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topMasato Nakanishi, and Tomonari Suzuki. "An observation on Kannan mappings." Open Mathematics 8.1 (2010): 170-178. <http://eudml.org/doc/269239>.
@article{MasatoNakanishi2010,
abstract = {In order to observe the condition of Kannan mappings more deeply, we prove a generalization of Kannan’s fixed point theorem.},
author = {Masato Nakanishi, Tomonari Suzuki},
journal = {Open Mathematics},
keywords = {Fixed point; Kannan mapping; fixed point},
language = {eng},
number = {1},
pages = {170-178},
title = {An observation on Kannan mappings},
url = {http://eudml.org/doc/269239},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Masato Nakanishi
AU - Tomonari Suzuki
TI - An observation on Kannan mappings
JO - Open Mathematics
PY - 2010
VL - 8
IS - 1
SP - 170
EP - 178
AB - In order to observe the condition of Kannan mappings more deeply, we prove a generalization of Kannan’s fixed point theorem.
LA - eng
KW - Fixed point; Kannan mapping; fixed point
UR - http://eudml.org/doc/269239
ER -
References
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- [2] Enjouji Y., Nakanishi M., Suzuki T., A generalization of Kannan’s fixed point theorem, Fixed Point Theory Appl., 2009, Article ID 192872, 1–10 Zbl1179.54056
- [3] Kannan R., Some results on fixed points - II, Amer. Math. Monthly, 1969, 76, 405–408 http://dx.doi.org/10.2307/2316437 Zbl0179.28203
- [4] Kikkawa M., Suzuki T., Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal., 2008, 69, 2942–2949 http://dx.doi.org/10.1016/j.na.2007.08.064 Zbl1152.54358
- [5] Kikkawa M., Suzuki T., Some similarity between contractions and Kannan mappings, Fixed Point Theory Appl., 2008, Article ID 649749, 1–8 Zbl1162.54019
- [6] Subrahmanyam P.V., Completeness and fixed-points, Monatsh. Math., 1975, 80, 325–330 http://dx.doi.org/10.1007/BF01472580 Zbl0312.54048
- [7] Suzuki T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 2008, 136, 1861–1869 http://dx.doi.org/10.1090/S0002-9939-07-09055-7 Zbl1145.54026
- [8] Suzuki T., Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl., 2008, 340, 1088–1095 http://dx.doi.org/10.1016/j.jmaa.2007.09.023 Zbl1140.47041
- [9] Suzuki T., Kikkawa M., Some remarks on a recent generalization of the Banach contraction principle, In: Dhompongsa S., Goebel K., Kirk W.A., Plubtieng S., Sims B., Suantai S. (Eds.), Proceedings of the Eighth International Conference on Fixed Point Theory and its Applications, 151–161, Yokohama Publishers, 2008 Zbl1187.54043
- [10] Suzuki T., Vetro C., Three existence theorems for weak contractions of Matkowski type, Int. J. Math. Stat., 2010, 6, 110–120
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