Fixed point and common fixed point theorems for the Meir-Keeler type functions in cone ball-metric spaces
نویسندگان
چکیده
منابع مشابه
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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In this work, we define a weaker Meir–Keeler type function ψ : int P ∪ {0} → int P ∪ {0} in a cone metric space, and under this weaker Meir–Keeler type function, we show the common fixed point theorems of four single-valued functions in cone metric spaces. © 2010 Elsevier Ltd. All rights reserved.
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In 1929, Knaster et al. 1 had proved the well-known KKM theorem on n-simplex. Besides, in 1961, Fan 2 had generalized the KKM theorem to an infinite dimensional topological vector space. Later, Amini et al. 3 had introduced the class of KKM-typemappings onmetric spaces and established some fixed point theorems for this class. In this paper, we define a weaker Meir-Keeler type function and estab...
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2012
ISSN: 2008-8752
DOI: 10.15352/afa/1399899940