Results 11 to 20 of about 1,104,947 (264)
The authors' main result is the following: Let (X,d) be a complete metric space and \(f: X\to X\) a self-mapping. If for x,y\(\in X\) and \(p>0\) the inequality \[ d(T^{2p}x,T^{2p}y)\leq a_ 1d(T^ px,T^{2p}x)+a_ 2d(T^ py,T^{2p}y)+a_ 3d(T^ px,T^ py) \] with \(a_ 1,a_ 2,a_ 3\geq 0\) and \(a_ 1+a_ 2+a_ ...
M. D. Khan, M. S. Khan
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A short and constructive proof of Tarski’s fixed-point theorem [PDF]
I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
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Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces
This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
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New Applications of Perov’s Fixed Point Theorem
The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan +2 more
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Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach
Anupam Das, B. Hazarika, Poom Kumam
semanticscholar +1 more source
Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Elagan, Sayed Khalil +1 more
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Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri +2 more
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Generalization of Rakotch's fixed Point Theorem
In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
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Brouwer's fixed-point theorem in real-cohesive homotopy type theory [PDF]
We combine homotopy type theory with axiomatic cohesion, expressing the latter internally with a version of ‘adjoint logic’ in which the discretization and codiscretization modalities are characterized using a judgemental formalism of ‘crisp variables ...
Michael Shulman
semanticscholar +1 more source
On a Fixed Point Theorem of Kirk [PDF]
Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
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