Meir-Keeler ɑ-contractive fixed and common fixed point theorems

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On common fixed point theorems of Meir and Keeler type

Two common fixed point results of Meir and Keeler type for four weakly compatible mappings are obtained which complement, improve and extend various previous ones existing in the literature especially the result of [2].

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n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results  as well as ´Ciri´c results. An example is given to support the usability of our results.

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On Development of Meir-Keeler Type Fixed Point Theorems

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Fixed Point and Common Fixed Point Theorems for the Meir-keeler Type Functions in Cone Ball-metric Spaces

In this paper, we define a new cone ball-metric and get fixed points and common fixed points for the Meir-Keeler type functions in cone ball-metric spaces. Department of Applied Mathematics, National Hsinchu University, of Education, Taiwan. E-mail address: [email protected] E-mail address: [email protected] Date: Received: 2 November 2011; Accepted: 26 May 2012. ∗ Corresponding ...

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Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces

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ژورنال

عنوان ژورنال: Fixed Point Theory and Applications

سال: 2013

ISSN: 1687-1812

DOI: 10.1186/1687-1812-2013-19