Results 11 to 20 of about 58,433 (206)
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 theorem utilizing operators and functionals [PDF]
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. [PDF]
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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A new approach to the Assad-Kirk fixed point theorem [PDF]
, 2016 Altun, Ishak/0000-0002-7967-0554; MINAK, GULHAN/0000-0002-3711-9633In the present paper, considering the Wardowski's technique, we give a new approach to the Assad-Kirk fixed point theorem on metrically convex metric spaces.
Olgun, Murat +2 more
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Polynomial Analogue of Gandy’s Fixed Point Theorem
Mathematics, 2021 The paper suggests a general method for proving the fact whether a certain set is p-computable or not. The method is based on a polynomial analogue of the classical Gandy’s fixed point theorem.
Sergey Goncharov, Andrey Nechesov
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ON A QUASI FIXED-POINT THEOREM [PDF]
Bulletin of the Korean Mathematical Society, 2003 In the paper under review, the author generalizes, in some aspects, the quasi fixed-point theorem due to \textit{I. Lefebvre} [Set-Valued Anal. 9, No. 3, 273--288 (2001; Zbl 0986.54051)] and proves the following Theorem. Let \(I\) and \(J\) be any index sets.
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