On coincidence point and fixed point theorems for nonlinear multivalued maps |
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Authors: | Wei-Shih Du |
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Institution: | Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan |
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Abstract: | Several characterizations of MT-functions are first given in this paper. Applying the characterizations of MT-functions, we establish some existence theorems for coincidence point and fixed point in complete metric spaces. From these results, we can obtain new generalizations of Berinde-Berinde?s fixed point theorem and Mizoguchi-Takahashi?s fixed point theorem for nonlinear multivalued contractive maps. Our results generalize and improve some main results in the literature. |
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Keywords: | 47H10 54H25 |
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