[PDF] Top 20 On a fixed point theorem of Greguš
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On a fixed point theorem of Greguš
... We conclude that although the mappings T and in Theorem 2 have a unique c:_mmon fixed point in C, it is possible for them to have other fixed points, as proved in the next example: Let X[r] ... See full document
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New generalizations of Darbo’s fixed point theorem
... fixed point theorem plays an important role in nonlinear ...fixed point property for α-set contraction on a closed, bounded and convex subset of Banach spaces in terms of the measure of noncompactness, ... See full document
8
Remarks on Extensions of the Himmelberg Fixed Point Theorem
... In 1972, Himmelberg [1] derived the following from the Kakutani fixed point theorem. Theorem 1.1. Let T be a nonvoid convex subset of a separated locally convex space L. Let F : T → T be a ... See full document
5
Duan's fixed point theorem: Proof and generalization
... We state a special case of a theorem of Halperin which will be needed to prove Theorem 3.1. This requires the use of rational homotopy theory, in particular, Sullivan minimal models (see [9] and [10]). For ... See full document
10
A fixed point theorem in modular metric spaces
... [8] V. V. Chistyakov, Modular metric spaces generated by F-modulars, Folia Math. 14 (2008), 3-25. [9] V. V. Chistyakov, Modular metric spaces I. basic conceps, Nonlinear Anal. 72 (2010), 1-14. [10] V. V. Chistyakov, ... See full document
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Generalization of Darbo's fixed point theorem and application
... Moreover in different Banach spaces we need to look for equivalent relations for measures of Hausdorff and Kuratowski so that we are able to analyze these measures of noncompactness bett[r] ... See full document
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On new generalizations of Smarzewski’s fixed point theorem
... In , Browder [], Kirk [] and Göhde [] proved respectively that every nonex- pansive mapping T from a nonempty weakly compact convex subset K of a uniformly convex Banach space X into itself has a fixed ... See full document
10
Some Generalizations of Jungck's Fixed Point Theorem
... In this section we are going to generalize the Jungck’s fixed point Theorem 1.2 by using the altering distance function and the JC class. More precisely, we will introduce the class of ψ -J- ... See full document
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Application of Fixed Point Theorem and Error Bounds
... mean-value theorem and the given condi- tion , g x ( ) is a contraction mapping of the complete metric space k into itself ...unique fixed point u of g in k , ... See full document
6
Generalized Fixed Point Theorem for Quasi Contractions
... a fixed point theorem for generalized quasi-contractions of D*-metric spaces have been ...Generally fixed point theorems were established for self maps of metric ...Certain fixed ... See full document
7
A Brouwer fixed-point theorem for graph endomorphisms
... fixed-point theorem assures that any continuous transformation on the closed ball in Euclidean space has a fixed ...the theorem of Perron-Frobenius in linear algebra [], which is one of the ... See full document
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Lefschetz fixed point theorem for digital images
... The main goal of this study is to determine fixed point properties for a digital image. More- over, we study the relations between the Euler characteristic and the Lefschetz number. At the end of this work, we give ... See full document
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Brouwer fixed point theorem in (L0)d
... Notice that as a sum, product, and composition of local, sequentially continuous func- tions, g is so as well. Hence, g has a fixed point Y . If Y = X, it must hold that X – f (X) + Y ≤ X, which means Y ≤ f (X), ... See full document
14
A Common Fixed Point Theorem in -Metric Spaces
... Srinivasa Rao, “On convergent sequences and fixed point theorems in D -metric spaces,” International Journal of Mathematics and Mathematical Sciences , vol. 1969–1988, 2005[r] ... See full document
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A fixed point theorem for smooth extension maps
... We will consider a somewhat different setting, as follows. Let X be a compact smooth n-manifold, with or without boundary, and let A be a smooth (n – )-dimensional subman- ifold of the interior of X. As in [], we shall ... See full document
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Fixed Point Theorem of Ciric-Pata Type
... Abstract. In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the ... See full document
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Maximal and minimal point theorems and Caristi's fixed point theorem
... [14, Theorem 1] includes the results appearing in ...[14, Theorem 1] is proved by Caristi ’ s fixed point theorem, then the results of [9,12-14]are equivalent to Caristi’s fixed ... See full document
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Common fixed points of set valued mappings
... generalized Theorem 1.1 in many ways. In this context, we prove a common fixed point theorem for set-valued mappings using Greguš type ...main theorem we need the following definitions ... See full document
5
On Jungck's common fixed point theorem
... In 1999, Popa [ 7 ] introduced the following implicit relation and proved some fixed point theorems for compatible mappings satisfying the relation. To describe the implicit relation, let Ψ be the family of ... See full document
7
A fixed point theorem for analytic functions
... z = ω, ϕ(z) is interior to the horocycle H tangent to T at e iθ that passes through z. This generates a contradiction. Indeed, consider some 0 < r < 1 and the pseudohyperbolic disk K ( ω , r ). Let H be the ... See full document
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