Results 11 to 20 of about 854,343 (249)
A short and constructive proof of Tarski’s fixed-point theorem [PDF]
, 2005 I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
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Almost fixed point theorems [PDF]
Proceedings of the American Mathematical Society, 1988 A closed cover version of Hazewinkel and van de Vel’s theorem on the existence of γ \gamma -almost fixed points for set-valued functions and for real Hausdorff topological vector spaces is proved. Generalizations of well-known fixed point theorems of the Schauder-Tychonoff type are presented.
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An Extension of Gregus Fixed Point Theorem
Fixed Point Theory and Applications, 2007 Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
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Mathematics, 2018 In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du +2 more
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Approximate fixed point theorems [PDF]
Scientific Annals of the A.I.I. Cuza University, 2001 The authors discuss weakenings of the conditions in the fixed point theorems of Brouwer, Kakutani and Banach which still guarantee the existence of approximate fixed points.
TORRE, ANNA, Tijs S., Brânzei R.
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Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
Nonlinear Analysis, 2017 An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces ...
Muhammad Usman Ali +2 more
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New Results and Generalizations for Approximate Fixed Point Property and Their Applications
Abstract and Applied Analysis, 2014 We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point
Wei-Shih Du, Farshid Khojasteh
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Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]
Neutrosophic Sets and SystemsThe present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh +3 more
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 The authors' main result is the following: Let (X,d) be a complete metric space and \(f: X\to X\) a self-mapping. If for x,y\(\in X\) and \(p>0\) the inequality \[ d(T^{2p}x,T^{2p}y)\leq a_ 1d(T^ px,T^{2p}x)+a_ 2d(T^ py,T^{2p}y)+a_ 3d(T^ px,T^ py) \] with \(a_ 1,a_ 2,a_ 3\geq 0\) and \(a_ 1+a_ 2+a_ ...
Khan, M. S., Khan, M. D.
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A Suzuki Type Fixed-Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2011 We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).
Ishak Altun, Ali Erduran
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