New existence theorems of coincidence points approach to generalizations of Mizoguchi-Takahashi’s fixed point theorem

نویسندگان

  • Ing-Jer Lin
  • Tai-Hung Chen
چکیده

*Correspondence: [email protected] Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan Abstract In this paper, we first establish some new existence theorems of coincidence points and common fixed points forMT -functions. By applying our results, we obtain some generalizations of Mizoguchi-Takahashi’s fixed point theorem, Nadler’s fixed point theorem and the Banach contraction principle. Some examples illustrating our results are also given. Our results generalize and improve some main results in the literature and references therein.

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تاریخ انتشار 2012