Results 51 to 60 of about 58,190 (204)
On A Fixed Point Theorem For The Product Of Operators
, 2017 In this paper, we study the existence of fixed points for the product of nonlinear operators. This kind of fixed point theorems is necessary in consideration of quadratic differential and integral problems.
Cichoń M., Metwali M.M.A.
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Fixed Point Theorem for Uncommuting Mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.
Salwa S. Abd, Alaa Abd-ullah
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A New Fixed Point Theorem and Applications
Abstract and Applied Analysis, 2013 A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
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Fixed Point Theorems on Partial Randomness [PDF]
Annals of Pure and Applied Logic, 2008 In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
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Approximation Theorems and Fixed Point Theorem in Cones [PDF]
Proceedings of the American Mathematical Society, 1988 In this paper, we investigate the validity of an interesting theorem of Fan [ 3 , Theorem 2] in cones. We prove that it is true for a continuous condensing map defined on a closed ball in cones.
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Some fixed point theorems for discontinuous mappings [PDF]
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
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Journal of MathematicsWe establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
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The complexity of Tarski’s fixed point theorem
Theoretical Computer Science, 2008 The Knaster-Tarski theorem says that for every complete lattice \(L\), every order-preserving mapping \(f:L\to L\) has a fixed point. This paper studies the query complexity of this problem. The authors present an algorithm that, for a given complete finite lattice \(L\) and an order-preserving mapping \(f\) of \(L\) given by an oracle, finds a fixed ...
Ching-Lueh Chang +2 more
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The Brouwer Fixed Point Theorem Revisited [PDF]
, 2016 We revisit the investigation of the computational content of the Brouwer Fixed Point Theorem in [7], and answer the two open questions from that work. First, we show that the computational hardness is independent of the dimension, as long as it is greater than 1 (in [7] this was only established for dimension greater than 2).
Vasco Brattka +3 more
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A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]
I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
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