Results 11 to 20 of about 58,190 (204)
A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 Let \(P\) be an non-empty polytope in the \(n\)-dimensional Euclidean space \(\mathbb{R}^n\) and \(f:P\to P\) be a function. A function \(f\) is locally gross direction preserving if for each \(x\in P\) for which \(f(x)\neq x\), there exists \(\delta>0\) such that for every \(y,z\in B(x,\delta)\cap P\), the function \(f\) satisfies \((f(y)-y)^T(f(z)-z)\
P. Jean-Jacques Herings +3 more
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On a fixed point theorem of Greguš [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e.‖TIx−ITx‖≤‖Ix−Tx‖ for any x in X,and satisfy the inequality‖Tx−Ty‖≤a‖Ix−Iy‖+(1−a)max{‖Tx−Ix‖,‖Ty−Iy‖}for all x, y in C, where ...
Brian Fisher, Salvatore Sessa
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Fixed-point-like theorems on subspaces [PDF]
Fixed Point Theory and Applications, 2004 We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet, Philippe Bich
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Fixed point theorem utilizing operators and functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson +3 more
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An Interval fixed-point theorem.
RITA, 1996 In this paper we will present an interval version to the Fixed Point Theorem. Such theorem offers a practical method (the 'sucessive ap proximations method') which serves to the interval fixed point equa tion root compute. We will also present a criterion that allows to de fine easily ~theinterval semi-plain regions which can hold such roots.
Oliveira, Paulo Werlang de +1 more
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
, 2010 The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi +1 more
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Lefschetz fixed point theorem for digital images [PDF]
, 2013 In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property.
Ozgur Ege +3 more
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GENERALIZED FIXED POINT THEOREM
Demonstratio Mathematica, 1983 Let X be a metric space, A be a nonempty closed convex subset of a uniformly convex Banach space \((Y,| \cdot |)\), \(CB(A)\) be the collection of all nonempty closed convex and bounded subsets of A metrized by the Hausdorff metric D. the following Krasnosielskii type fixed point theorem is proved: Suppose that \(\Gamma: A\to X\) is a continuous ...
Kisielewicz, M., Rybiński, L.
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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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