Fixed Point Theorems for a Weaker Meir-Keeler Type ψ-Set Contraction in Metric Spaces
نویسندگان
چکیده
منابع مشابه
Fixed Point Theorems for a Weaker Meir-Keeler Type -Set Contraction in Metric Spaces
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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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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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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Copyright q 2011 ChiMing Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We obtain some new fixed point theorems for a ψ, φ-pair Meir-Keeler-type set-valued contraction map in metric spaces. Our main results generalize and i...
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Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, No. 521, Nanda Rd., Hsinchu City 300, Taiwan Abstract In this article, we introduce the notions of cyclic weaker φ ○ -contractions and cyclic weaker (φ, )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for ...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2009
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2009/129124