Fixed point theorems for mappíngs with a generalized contractive iterate at a point.
Lj.B. Ciric (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Lj.B. Ciric (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Abbas, M., Rhoades, B.E. (2008)
Fixed Point Theory and Applications [electronic only]
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Mbarki, Abderrahim (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Jianhua Chen, Xianjiu Huang, Shengjun Li (2016)
Open Mathematics
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In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions. Our results generalize and extend some existing results. Moreover, some examples are given to support the obtained results.
Simeon Reich, Alexander J. Zaslavski (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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We establish two fixed point theorems for certain mappings of contractive type.
P. L. Sharma, A. K. Yuel (1982)
Matematički Vesnik
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Memudu Olatinwo (2008)
Open Mathematics
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In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results...
Cheh-Chih Yeh (1980)
Publications de l'Institut Mathématique
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B. E. Rhoades (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Sessa, S., Fisher, B. (1986)
International Journal of Mathematics and Mathematical Sciences
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Liu, Zeqing, Zhang, Lili (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Cho, Y.J., Fisher, B., Genga, G.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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Mohamed Akkouchi (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the setting of a b-metric space (see [Czerwik, S.: Contraction mappings in b-metric spaces Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5–11.] and [Czerwik, S.: Nonlinear set-valued contraction mappings in b-metric spaces Atti Sem. Mat. Fis. Univ. Modena 46, 2 (1998), 263–276.]), we establish two general common fixed point theorems for two mappings satisfying the (E.A) condition (see [Aamri, M., El Moutawakil, D.: Some new common fixed point theorems under strict contractive conditions...