# Two fixed point theorems for generalized contractions with constants in complete metric space

Open Mathematics (2009)

- Volume: 7, Issue: 3, page 529-538
- ISSN: 2391-5455

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topOvidiu Popescu. "Two fixed point theorems for generalized contractions with constants in complete metric space." Open Mathematics 7.3 (2009): 529-538. <http://eudml.org/doc/269798>.

@article{OvidiuPopescu2009,

abstract = {In this paper we prove two fixed point theorems for generalized contractions with constants in complete metric space, which are generalizations of very recent results of Kikkawa and Suzuki.},

author = {Ovidiu Popescu},

journal = {Open Mathematics},

keywords = {Fixed point; Contraction; Ćirić generalized contraction; fixed point; contraction},

language = {eng},

number = {3},

pages = {529-538},

title = {Two fixed point theorems for generalized contractions with constants in complete metric space},

url = {http://eudml.org/doc/269798},

volume = {7},

year = {2009},

}

TY - JOUR

AU - Ovidiu Popescu

TI - Two fixed point theorems for generalized contractions with constants in complete metric space

JO - Open Mathematics

PY - 2009

VL - 7

IS - 3

SP - 529

EP - 538

AB - In this paper we prove two fixed point theorems for generalized contractions with constants in complete metric space, which are generalizations of very recent results of Kikkawa and Suzuki.

LA - eng

KW - Fixed point; Contraction; Ćirić generalized contraction; fixed point; contraction

UR - http://eudml.org/doc/269798

ER -

## References

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- [2] Chatterjea S. K., Fixed point theorems, Comptes rendus de l’Académie Bulgare des Sciences, 1972, 25, 727–730 Zbl0274.54033
- [3] Ćirić Lj. B., Generalized contractions and fixed point theorem, Publ. Inst. Math., 1971, 12, 19–26 Zbl0234.54029
- [4] Kannan R., Some results on fixed points, Bull. Calcutta Math. Soc., 1968, 60, 71–76 Zbl0209.27104
- [5] Kikkawa M., Suzuki T., Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Analysis, 69, 2008, 2942–2949 http://dx.doi.org/10.1016/j.na.2007.08.064 Zbl1152.54358
- [6] Kikkawa M., Suzuki T., Some similarity between contractions and Kannan mappings, Fixed Point Theory and Applications, 2008, ID649749, 8 pages Zbl1162.54019
- [7] Meir A., Keeler E., A theorem on contraction mappings, J. Math. Anal. Appl., 1969, 28, 326–329 http://dx.doi.org/10.1016/0022-247X(69)90031-6
- [8] Popescu O., Fixed point theorems in metric spaces, Bull. of Transilvania Univ., 2008, 50, 479–482 Zbl1299.54109
- [9] Suzuki T., A generalized Banach contraction principle which characterizes metric completness, Proc. Amer. Math. Soc., 2008, 136, 1861–1869 http://dx.doi.org/10.1090/S0002-9939-07-09055-7 Zbl1145.54026
- [10] Suzuki T., Kikkawa M., Some remarks on a recent generalization of the Banach contraction principle, Proceedings of the Eighth International Conference on Fixed Point Theory and its Applications, Yokohama Publishers, 2008, 151–161 Zbl1187.54043
- [11] Zamfirescu T., Fixed point theorems in metric spaces, Arch. Math., 1972, 23, 292–298 http://dx.doi.org/10.1007/BF01304884 Zbl0239.54030

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