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Remarks on Some Fixed Point Theorems
Shouro Kasahara
- Vol. 4, Iss: 1, pp 43-50
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The article was published on 1976-01-01 and is currently open access. It has received 85 citations till now. The article focuses on the topics: Fixed-point theorem.read more
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A concept of convergence in geodesic spaces
William A. Kirk,Bancha Panyanak +1 more
TL;DR: The notion of weak convergence in CAT(0) spaces was introduced by Lim and Kuczumow as discussed by the authors, where each geodesic triangle is at least as thin as its comparison triangle in the Euclidean plane.
Book
Convex analysis and optimization in Hadamard spaces
TL;DR: In this article, the authors give a systematic account on the subject of convex analysis and optimization in Hadamard spaces, aimed at both graduate students and researchers in analysis and optimisation.
Journal ArticleDOI
Monotone operators and the proximal point algorithm in complete cat(0) metric spaces
Hadi Khatibzadeh,Sajad Ranjbar +1 more
TL;DR: In this paper, the proximal point algorithm is generalized to complete CAT(0) spaces, and it is shown that the sequence generated by this algorithm converges to a zero of the monotone operator.
Journal ArticleDOI
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
TL;DR: In this paper, the authors studied the strong convergence theorems of Moudafi's viscosity approximation methods for a nonexpansive mapping T in CAT(0) spaces without the property.
Journal ArticleDOI
On fixed point results for a-implicit contractions in quasi-metric spaces and consequences
TL;DR: In this paper, the authors prove some fixed point results involving α-implicit contractions in quasi-metric spaces and provide an example and an application on a solution of a nonlinear integral equation.
References
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Book
Convex analysis and optimization in Hadamard spaces
TL;DR: In this article, the authors give a systematic account on the subject of convex analysis and optimization in Hadamard spaces, aimed at both graduate students and researchers in analysis and optimisation.
Journal ArticleDOI
Monotone operators and the proximal point algorithm in complete cat(0) metric spaces
Hadi Khatibzadeh,Sajad Ranjbar +1 more
TL;DR: In this paper, the proximal point algorithm is generalized to complete CAT(0) spaces, and it is shown that the sequence generated by this algorithm converges to a zero of the monotone operator.
Journal ArticleDOI
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
TL;DR: In this paper, the authors studied the strong convergence theorems of Moudafi's viscosity approximation methods for a nonexpansive mapping T in CAT(0) spaces without the property.
Journal ArticleDOI
On fixed point results for a-implicit contractions in quasi-metric spaces and consequences
TL;DR: In this paper, the authors prove some fixed point results involving α-implicit contractions in quasi-metric spaces and provide an example and an application on a solution of a nonlinear integral equation.
Journal ArticleDOI
A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
TL;DR: In this article, a viscosity-type proximal point algorithm is proposed, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions.