Some New Fixed-Point Theorems for a ()-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
نویسندگان
چکیده
منابع مشابه
Some New Fixed-Point Theorems for a (Ψ, Φ)-Pair Meir-Keeler-Type Set-Valued Contraction Map in Complete Metric Spaces
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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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.
متن کاملSome new fixed point theorems for set-valued contractions in complete metric spaces
Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, Taiwan Abstract In this article, we obtain some new fixed point theorems for set-valued contractions in complete metric spaces. Our results generalize or improve many recent fixed point theorems in the literature. MSC: 47H10, 54C60, 54H25, 55M20.
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In this paper, we prove some coupled fixed point theorems satisfying a Meir-Keeler type contractive condition for mappings enjoying the mixed monotone property in ordered partial metric spaces.
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2011
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2011/327941