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

• Autorzy: Ovidiu Popescu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fixed point; Contraction; Ćirić generalized contraction

Kategorie tematyczne

• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 529-538

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

Ovidiu Popescu

• Transilvania University

Bibliografia

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• [4] Kannan R., Some results on fixed points, Bull. Calcutta Math. Soc., 1968, 60, 71–76
• [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
• [6] Kikkawa M., Suzuki T., Some similarity between contractions and Kannan mappings, Fixed Point Theory and Applications, 2008, ID649749, 8 pages
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• [8] Popescu O., Fixed point theorems in metric spaces, Bull. of Transilvania Univ., 2008, 50, 479–482
• [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
• [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
• [11] Zamfirescu T., Fixed point theorems in metric spaces, Arch. Math., 1972, 23, 292–298 http://dx.doi.org/10.1007/BF01304884

Identyfikatory

DOI

10.2478/s11533-009-0019-2