Generalized Caristi's fixed point theorems.
Latif, Abdul (2009)
Fixed Point Theory and Applications [electronic only]
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Latif, Abdul (2009)
Fixed Point Theory and Applications [electronic only]
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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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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.
Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. (2008)
Fixed Point Theory and Applications [electronic only]
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Pathak, H.K., Khan, M.S. (1996)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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O. Hadžić (1979)
Matematički Vesnik
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Rashwan, R.A., Ahmed, M.A. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Singh, S.L., Mishra, S.N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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El Amrani, M., Mbarki, A.B. (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Barada Ray (1977)
Fundamenta Mathematicae
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Monica Boriceanu, Marius Bota, Adrian Petruşel (2010)
Open Mathematics
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Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal...
Poom Kumam, Muhammad Sarwar, Mian Bahadur Zada (2016)
Annales Mathematicae Silesianae
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The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.