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An Application: The Brouwer Fixed Point Theorem

Brouwer fixed point theorem in (L0)d

Brouwer fixed point theorem in (L0)d

... An application, though not studied in this paper, is for instance possible in economic theory or optimization in the context of []. Therein the methods from convex analy- sis are used to obtain equilibrium ...

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A Brouwer fixed-point theorem for graph endomorphisms

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 ...and Brouwer in  [], in general, it is now a basic application in ...

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SPERNER S LEMMA AND BROUWER S FIXED POINT THEOREM

SPERNER S LEMMA AND BROUWER S FIXED POINT THEOREM

... the point does not move closer ...a point. If this point was not a fixed point, the continuity of f would suggest that as our triangles approach the point, all the corners would ...

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Application of Fixed Point Theorem and Error Bounds

Application of Fixed Point Theorem and Error Bounds

... Banach’s fixed point , their approximations to the fixed point and error bounds , and also contains some new fixed point theorems and ...

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Generalization of Darbo'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] ...

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Common Fixed Point Theorem in Rational Inequality and Their Application

Common Fixed Point Theorem in Rational Inequality and Their Application

... of fixed point and common fixed point in rational inequality on complete metric ...As application, Some existence and uniqueness results of solution and common solution for some ...

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AN APPLICATION OF FIXED POINT THEOREM FOR S-CONVEX FUNCTION

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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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) ...

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On a fixed point theorem of Greguš

On a fixed point theorem of Greguš

... Now let y be an arbitrary point in TK n. Then for arbitrary > 0 there exists a point y’ in KF.. Now suppose that T and have a second common fixed pcint w". This completes the poof[r] ...

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Application of Common Fixed Point Theorem on Fuzzy Metric Space

Application of Common Fixed Point Theorem on Fuzzy Metric Space

... Common Fixed Point Theorem on Fuzzy Metric Space ...common fixed point theorem for three mappings in fuzzy metric space for various applications on 2 and 3-metric spaces with ...

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On a fixed point theorem of Krasnosel'skii type and application to integral equations

On a fixed point theorem of Krasnosel'skii type and application to integral equations

... Furthermore, applications to integral equations in a Banach space were presented. On the basis of the ideas and techniques in [2, 6], we consider (1.2). The paper consists of five sections. In Section 2, we prove a ...

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A Pata-type fixed point theorem in modular spaces with application

A Pata-type fixed point theorem in modular spaces with application

... In  Nakano [] introduced the theory of modular spaces in connection with the the- ory of ordered spaces. Musielak and Orlicz [] in  redefined and generalized it to obtain a generalization of the classical ...

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An application of Meir-Keeler type tripled fixed point theorem

An application of Meir-Keeler type tripled fixed point theorem

... triple fixed point and proof some related fixed point theorem with some ...tripled fixed point theorems under a generalized g −Meir-Keeler type contractive ...an ...

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FIXED POINT THEOREM IN MENGER SPACE

FIXED POINT THEOREM IN MENGER SPACE

... Index Terms— Fixed point, compatibility, Menger space and weakly compatible. I INTRODUCTION The concept of weakly compatible mappings is most general as each pair of compatible mappings is weakly compatible ...

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A Suzuki Type Fixed Point Theorem

A Suzuki Type Fixed Point Theorem

... There are a lot of generalizations of Banach fixed-point principle in the literature. See 1– 5. One of the most interesting generalizations is that given by Suzuki 6. This interesting ...

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A fixed point theorem for holomorphic maps

A fixed point theorem for holomorphic maps

... Brouwer’s fixedpoint theorem there is a fibre of π which is mapped into itself by ˇ f ...the application of Brouwer’s theorem to dilations of f shows that there exista a point ...

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PPF Dependent Fixed Point Theorem for

PPF Dependent Fixed Point Theorem for

... dependent fixed point theorems in the Razumikhin class for a pair of mappings satisfying (α − ψ)− contractive conditions in Banach spaces where the domains and ranges of the mappings are not the ...common ...

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A fixed point theorem for analytic functions

A fixed point theorem for analytic functions

... remarkable point w is called the Denjoy-Wolff point of ...a fixed point, but is not the identity or an elliptic disk automorphism, one can use Schwarz’s lemma in classical complex analysis to ...

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A note on Krasnosel’skii fixed point theorem

A note on Krasnosel’skii fixed point theorem

... fixed point theorems in strong topology setup are ...fixed point theorems are obtained, which expand and complement some known related results by Agarwal, O’Regan and Taoudi (Fixed Point Theory ...

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A Generalization of Kannan's Fixed Point Theorem

A Generalization of Kannan's Fixed Point Theorem

... a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle ...Kannan’s fixed point theorem is very important because Subrahmanyam 3 ...

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