Results 1 to 10 of about 50 (50)
A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 AMS classifications: 54H25, 65K10, 49J53 ...
P. Jean-Jacques Herings +5 more
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A uniqueness theorem for fixed points [PDF]
Proceedings of the American Mathematical Society, 1980 In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Smith, H. L., Stuart, Charles Alexander
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On a Fixed Point Theorem of Kirk [PDF]
Proceedings of the American Mathematical Society, 1995 Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
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Proceedings of the American Mathematical Society, 1956 Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
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On Tarski’s fixed point theorem [PDF]
Proceedings of the American Mathematical Society, 2015 Proc. Amer. Math.
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Approximate fixed point theorems [PDF]
Scientific Annals of the A.I.I. Cuza University, 2001 Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.
TORRE, ANNA, Tijs S., Brânzei R.
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On fixed point theorems and nonsensitivity [PDF]
Israel Journal of Mathematics, 2011 12 pages, revised version, to appear in Israel J.
Michael Megrelishvili, Eli Glasner
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A fixed point theorem revisited [PDF]
Proceedings of the American Mathematical Society, 1988 A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.
T. L. Hicks, Alberta Bollenbacher
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A fixed point theorem and attractors [PDF]
Proceedings of the American Mathematical Society, 1978 We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
J. L. Solomon, Ludvik Janos
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On a fixed point theorem of Kirk
Journal of Mathematical Analysis and Applications, 2005 AbstractW.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645–650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem.
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