Brouwer fixed-point theorem
Brouwer fixed point theorem in (L0)d
... tain a fixed point for local, sequentially continuous functions on conditional simplexes. From the measurable structure of the problem, it turns out that we have to work with local, measurable labeling functions. ...
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A Brouwer fixed-point theorem for graph endomorphisms
... fixed-point theorem has been approached graph theoretically with hexagonal lattices [] or using results on graph colorings like the Sperner lemma [], it is natural to inquire for a direct combinatorial ...
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A Fixed Point Theorem Based on Miranda
... intermediate-value theorem. Mi- randa proved his theorem using the Brouwer fixed point ...the Brouwer degree of a mapping, Vrahatis gave another short proof of Theorem ...
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On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
... In this paper, we give a difference scheme for the generalized Novikov equation. In Section 2, we give some preparation knowledge. In Section 3, we propose a conservative finite difference scheme for the generalized ...
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A fixed point theorem for holomorphic maps
... Brouwer’s fixed point theorem to dilations f (rz) (r < 1), it is easy to see that the function π − f ˆ : M → C has a zero, but this merely says that some point in some fibre of π is mapped ...
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Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
... Proof of Theorem 1 Making use of Lemma 4(i), (ii), (iv), (vi), (vii) and (18), we apply the Kakutani fixed-point theorem to F = F(v). Hence, we see that there exists x = x(i) ∈ S such that x ∈ F(x). ...
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Lefschetz fixed point theorem for digital images
... fixed point. As a result, two- dimensional Brouwer fixed point theorem holds for digital ...fixed point property is a topological property; ...
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On Krasnoselskii's Cone Fixed Point Theorem
... Schauder’s fixed point theorem to prove the Leray-Schauder fixed point ...the Brouwer-Schauder theorem and applied it to obtain existence results of boundary value ...
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A Full Characterization on Fixed Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem
... Brouwer’s fixed point theorem, Kakutani fixed point ...points, fixed points, coincidence points, complementarity problems, ...
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Remarks on Extensions of the Himmelberg Fixed Point Theorem
... that Theorem 1.1 is usually called the Himmelberg fixed point theorem and is a common generalization of historically well-known fixed point theorems due to Brouwer, ...
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A fixed point theorem for smooth extension maps
... f at p satisfies the inequality | i(X ,f , p) | ≤ 1. It follows that if φ has k fixed points, all transverse, and the Lefschetz number L(f) > k, then there is at least one fixed point of f in X \ A. Examples ...
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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] ...
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Duan's fixed point theorem: Proof and generalization
... transformation since this requires finding the roots of the characteristic polynomial. In applying Theorem 3.1 to show L( f ) = 0, however, it is only necessary to show that − 1 and 1 are not roots of the ...
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New generalizations of Darbo’s fixed point theorem
... fixed point theorem? We establish some new generalizations of Darbo’s fixed point theorem by using ‘integral ...fixed point theorems extend the existing results on the problem ...
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Pseudo-metric space and fixed point theorem
... The above considerations show that Theorem . and Theorem . are equivalent. Since the Caristi theorem (Corollary .) is a particular case of our main result and the Ekeland variational principle ...
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Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay
... where A is the infinitesimal generator of a compact semigroup. Recently, Xie [24] and Dabas and Chauhan [25], analyzed the existence and uniqueness results for impulsive fractional integro-differential evolution ...
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AN APPLICATION OF FIXED POINT THEOREM FOR S-CONVEX FUNCTION
... A locally convex space is a topological vector space X , admitting a neighbourhood basis at 0 formed by convex sets. It follows that every point in X admits a neighbourhood basis formed of convex sets and ...
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Some Results on Fuzzy Mappings for Rational Expressions
... Fuzzy fixed point theory has numerous applications in applied sciences and engineering such as neural network theory, stability theory, mathematical programming, modeling theory, medical sciences(medical ...
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Vol 8, No 3 (2017)
... Banach fixed point theorem in the b-metric ...the fixed point theorem in b-metric ...The fixed point theory in metric type spaces was investigated in [10] and ...
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Common fixed point theorems for maps under a new contractive condition
... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type , Int.. ´ Ciri´ c, Generalized contraction and fixed point theorem , Publ.[r] ...
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