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Fixed-point

SOME FIXED POINT AND COMMON FIXED POINT RESULTS IN L  SPACES

SOME FIXED POINT AND COMMON FIXED POINT RESULTS IN L SPACES

... It was shown by S. Kashara [4] & [5] in 1975 that several known generalization of the Banach contraction theorem can be derived easily from a fixed point theorem in an 𝐿-space. Iseki [2] has used the ...

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Fixed point indices and manifolds with collars

Fixed point indices and manifolds with collars

... For our purposes, it is useful to reformulate the properties of Additivity 2.2 and Homotopy Invariance 2.7 in the form of the following propositions. These reformula- tions are found in Brown’s book [4], and they form ...

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On Krasnoselskii's Cone Fixed Point Theorem

On Krasnoselskii's Cone Fixed Point Theorem

... Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of ...

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Generalized Caristi's Fixed Point Theorems

Generalized Caristi's Fixed Point Theorems

... Caristi’s fixed point theorem. It is well known that Caristi’s fixed point theorem is equivalent to Ekland variational principle 1, which is nowadays an important tool in nonlinear ...

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A Generalization of Kannan's Fixed Point Theorem

A Generalization of Kannan's Fixed Point Theorem

... 7 T. Suzuki and M. Kikkawa, “Some remarks on a recent generalization of the Banach contraction principle,” in Proceedings of the 8th International Conference on Fixed Point Theory and Its Applications ...

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Epsilon Nielsen fixed point theory

Epsilon Nielsen fixed point theory

... The point of view of numerical analysis concerning accuracy is described by Hilde- brand in his classic text [5] in the following ...Nielsen fixed point theory that does assume that a specified ...

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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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Fixed-point-like theorems on subspaces

Fixed-point-like theorems on subspaces

... the fixed-point-like the- orem by Hirsch et ...the fixed-point theorem by Gale and Mas-Colell [8] (which generalizes Kakutani’s theorem ...standard fixed-point theorems when the ...

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Fixed point theorems in  spaces and -trees

Fixed point theorems in spaces and -trees

... Proof. Since K is a closed convex subset of a CAT(0) space, the nearest point projection P of X onto K is nonexpansive (see, e.g., [1, page 176]). Therefore the mapping P ◦ f : K → K is continuous and has a ...

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A fixed point theorem for analytic functions

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 ...

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Some applications of fixed point theorems

Some applications of fixed point theorems

... Then f i is contraction and one of the following holds for each i. Either (i) f i has a unique fixed point or (ii) there is a t ∈ (0, 1) such that x i = t f i x i for x ∈ ∂C. In case (i) holds, then x i = f ...

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On Fixed Point Theorems for Multivalued Contractions

On Fixed Point Theorems for Multivalued Contractions

... of fixed points for various multivalued contractive mappings had been studied by many authors under different ...following fixed point theorem for the multivalued ...

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On the δ continuous fixed point property

On the δ continuous fixed point property

... It is obvious that a space with the wcFPP has necessarily the 0-continuous fixed point property and a space with the 0-continuous fixed point property has both the FPP and the fixed poin[r] ...

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A Fixed Point Method for Convex Systems

A Fixed Point Method for Convex Systems

... small-scale systems of convex equations that blending steepest descent direction and fixed point ideas. Preliminary numerical effort on the set of small-scale convex systems of equations indicates that ...

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Fixed point adjunctions for module spectra

Fixed point adjunctions for module spectra

... 5.B. Modules over an Eilenberg-Mac Lane spectrum. We are now ready to discuss R = HR, where R is a Green functor, and we take N = G so we can concentrate on the new features. In this case the fixed point ...

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A product space with the fixed point property

A product space with the fixed point property

... metric fixed point theory is: Does every reflexive Banach space have (FPP)? (See [2] for more about this ...the fixed point property for isometries [3] the question for general nonexpansive ...

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A Fixed Point Theorem Based on Miranda

A Fixed Point Theorem Based on Miranda

... For n = 1, Theorem 1.1 reduces to the well-known intermediate-value theorem. Mi- randa proved his theorem using the Brouwer fixed point theorem. Using the Brouwer degree of a mapping, Vrahatis gave another ...

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Fixed Point Results in Quasimetric Spaces

Fixed Point Results in Quasimetric Spaces

... new fixed point results in the setting of quasimetric spaces for weakly q-contractive and generalized q-contractive multivalued ...stated fixed point ...

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Remarks on Recent Fixed Point Theorems

Remarks on Recent Fixed Point Theorems

... coincidence point, that is, there exists z ∈ Y such that Tz ∈ P ...common fixed point provided that P and T are IT-commuting at z and Tz is a fixed point of ...

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An Extension of Gregus Fixed Point Theorem

An Extension of Gregus Fixed Point Theorem

... Theorem 1.3. Let C be a closed convex subset of a complete metrizable space X and T : C → C a mapping that satisfies F(Tx − T y) ≤ aF(x − y) + bF(x − Tx) + cF(y − T y) + eF(y − Tx) + f F(x − T y) for all x, y ∈ C, where ...

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