Comments on the paper by Gordji and Baghani entitled “A generalization of Nadler's fixed point theorem".
Rhoades, B.E. (2010)
The Journal of Nonlinear Sciences and its Applications
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Rhoades, B.E. (2010)
The Journal of Nonlinear Sciences and its Applications
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Lj. B. Ćirić (1972)
Matematički Vesnik
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Ismat Beg, Akbar Azam (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Fixed point theorems of multivalued hybrid contractions and Meir-Keeler type multivalued maps are obtained in a metric space. Our results generalize corresponding results of Aubin and Siegel, Dube, Dube and Singh, Hadzic, Iseki, Jungck, Kaneko, Nadler, Park and Bae, Reich, Ray and many others.
Frigon, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Marzouki, B., Mbarki, A.B. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Liu, Zeqing (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Gilles Fournier, Donald Violette (1987)
Annales Polonici Mathematici
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Marwan Amin Kutbi, Wutiphol Sintunavarat (2016)
Open Mathematics
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The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive...
Hadžić, Olga, Ovcin, Zoran (1998)
Novi Sad Journal of Mathematics
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Rhoades, B.E., Singh, S.L., Kulshrestha, Chitra (1984)
International Journal of Mathematics and Mathematical Sciences
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Talat Nazir, Sergei Silvestrov, Mujahid Abbas (2016)
Waves, Wavelets and Fractals
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The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature. ...
Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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