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A Brouwer fixed-point theorem for graph endomorphisms

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 ... See full document

24

Remarks on Extensions of the Himmelberg Fixed Point Theorem

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, ... See full document

5

A Full Characterization on Fixed Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem

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, ... See full document

18

Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure

Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure

... Substituting (21) and (22) in the right-hand side, we obtain (40). Let us discuss this key lemma. Observing (14) and (29), we see that (32) is expressed in terms of the double summation. Hence, the left-hand side of (40) ... See full document

14

A Fixed Point Theorem Based on Miranda

A Fixed Point Theorem Based on Miranda

... the graph of a function y = g(x), x ∈ ...no fixed point in Ω, which is no contradiction to Theorem ...no fixed point in ... See full document

5

On Krasnoselskii's Cone Fixed Point Theorem

On Krasnoselskii's Cone Fixed Point Theorem

... Krasnoselskii’s theorem and discuss several generalizations, especially the Krasnoselskii-Benjamin ...Krasnoselskii theorem and show that it is equivalent to a fixed point theorem for ... See full document

18

A fixed point theorem for holomorphic maps

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 ... See full document

8

On the Conservative Finite Difference Scheme for the Generalized Novikov Equation

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 ... See full document

15

Brouwer fixed point theorem in (L0)d

Brouwer fixed point theorem in (L0)d

... Proof Suppose that there is this local, sequentially continuous function f . Define the func- tion g : S(d – ) → S(d – ) by g(X) = –X. Then the composition g ◦ f : B(d) → B(d), which actually maps to S (d – ), is local ... See full document

14

Remarks on Caristi’s fixed point theorem in metric spaces with a graph

Remarks on Caristi’s fixed point theorem in metric spaces with a graph

... The field of mathematics plays a vital role in various fields. One of the important areas in mathematics is graph theory which is used in structural models. These structural ar- rangements of various objects or ... See full document

8

Maximal and minimal point theorems and Caristi&#039;s fixed point theorem

Maximal and minimal point theorems and Caristi's fixed point theorem

... of fixed points of Caristi-type mappings is equivalent to the existence of maximal point of (X, ...a fixed point by investi- gating the existence of maximal point of (X, ≼) provided ... See full document

6

Generalized Fixed Point Theorem for Quasi Contractions

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 selection and a fixed point theorem and an equilibrium point of an abstract economy

A selection and a fixed point theorem and an equilibrium point of an abstract economy

... TARAFDAR, E., A fixed point theorem and equilibrium point of an abstract economy; Journal of Mathematical Economics 20 1991 211-218 On the existence of equilibria in economics with infin[r] ... See full document

6

Fixed Point Theorem of Ciric-Pata Type

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

7

New generalizations of Darbo’s fixed point theorem

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 ... See full document

8

Duan&#039;s fixed point theorem: Proof and generalization

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

Application of Fixed Point Theorem and Error Bounds

Application of Fixed Point Theorem and Error Bounds

... The Fixed points have long been used in analysis to solve various kinds of partial differential equa- tions , ordinary differential equations and integral equations [3] .... Fixed point theorems of ... See full document

6

A fixed point theorem in modular metric spaces

A fixed point theorem in modular metric spaces

... terested fixed point of modular ...new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric ...some fixed point theorems of contractive ... See full document

8

Generalization of Darbo&#039;s fixed point theorem and application

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

10

On new generalizations of Smarzewski’s fixed point theorem

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

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