A fixed point theorem
A fixed point theorem for holomorphic maps
... A Fixed–point Theorem for Holomorphic Maps A.G. O’Farrell and R.M. Timoney The purpose of this paper is to present a new kind of fixed–point theorem. Let H ∞ denote the uniform ...
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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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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 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 ...
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A fixed point theorem for smooth extension maps
... fixed point of f that is a transversal fixed point of φ , that is, the linear transformation d φ p – I A : T p A → T p A is nonsingular, then the fixed point index ...
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A fixed point theorem in modular metric spaces
... of fixed point theory in metric spaces is related to Banach Contraction Prin- ciple, published in 1922 [5], which in particular situation was already obtained by Liouville, Picard and ...
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A selection and a fixed point theorem and an equilibrium point of an abstract economy
... a I, Pa(’ )N Aa( ) and a 6 Ac( )- Thus if an abstract economy is given by {Xa, Pa, Aa:a G I}, then its equilibrium point can be defined as follows: A point X is an equilibrium point of t[r] ...
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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 ...
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Generalized Fixed Point Theorem for Quasi Contractions
... a fixed point theorem for generalized quasi-contractions of generalized metric ...a fixed point theorem for generalized quasi-contractions of D*-metric spaces have been ...
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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 ...
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An Extension of Nadler s Fixed Point Theorem
... a fixed point theorem known as the “Banach Contraction Principle” which is one of the most important results of Mathematical analysis and as the main source of metric fixed point ...of ...
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
... 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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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 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 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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An Extension of Gregus Fixed Point Theorem
... (3) Berinde [14] showed that the Ishikawa iteration sequence [16] of a class of quasi- contractive operators, called Zamfirescu operators, defined on a closed convex subset C of a Banach space X converges to the ...
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On Jungck's common fixed point theorem
... common fixed point theorem for two commuting self-mappings of a complete metric ...common fixed point results of Kaneko and Sessa [ ...
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A Full Characterization on Fixed Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem
... FKK theorem, fixed point theorem, saddle point theorem, variational inequalities, and coincidence theorem, ...characterize fixed point theorem, saddle ...
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2. Generalization of Kannan’s Fixed Point Theorem
... Theorem 1.2 ([1]). If (X, d) is a complete metric space, and if T is a Kannan map on X, then there exists a unique x ∈ X such that T x = x. And Subrahmanyam ([3]) has proved the counterpart by showing that if all ...
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