Results 41 to 50 of about 77,015 (302)
The modified proximal point algorithm in Hadamard spaces
Journal of Inequalities and Applications, 2018 The purpose of this paper is to propose a modified proximal point algorithm for solving minimization problems in Hadamard spaces. We then prove that the sequence generated by the algorithm converges strongly (convergence in metric) to a minimizer of ...
Shih-sen Chang +3 more
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Weak topology on CAT(0) spaces
Israel Journal of Mathematics, 2022 We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.
Lytchak, Alexander, Petrunin, Anton
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On the Monotone Mappings in CAT(0) Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a ...
Davood Afkhami Taba, Hossein Dehghan
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Intrinsic Rank in CAT(0) Spaces
, 2022 19 ...
Ontaneda, Pedro, Ricks, Russell
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Journal of Inequalities and Applications, 2023 In this paper, we establish the stability and strong convergence theorems, for the three-step iteration with perturbations for a T-Ciric quasicontraction, in the environment of the CAT(0) space.
Kenyi Calderón +2 more
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Journal of Inequalities and Applications, 2019 It is well known that the concept (generalized) asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical methods for solving differential equations. The
Ting-jian Xiong, Heng-you Lan
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Fixed point theorems for enriched Kannan mappings in CAT(0) spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate ...
A. Y. Inuwa +3 more
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Hyperbolic quasi-geodesics in CAT(0) spaces [PDF]
Geometriae Dedicata, 2013 We prove that in CAT(0) spaces a quasi-geodesic is Morse if and only if it is contracting. Specifically, in our main theorem we prove that for $ $ a quasi-geodesic in a CAT(0) space X, the following four statements are equivalent: (i) $ $ is Morse, (ii) $ $ is (b,c)--contracting, (iii), $ $ is strongly contracting, and (iv) in every asymptotic cone
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Common Attractive Points of Generalized Hybrid Multi-Valued Mappings and Applications
Mathematics, 2020 In this paper, we first propose the concepts of (ζ,η,λ,π)-generalized hybrid multi-valued mappings, the set of all the common attractive points (CAf,g) and the set of all the common strongly attractive points (CsAf,g), respectively for the multi-valued ...
Lili Chen, Ni Yang, Jing Zhou
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Journal of Function Spaces, 2018 This paper is for the purpose of introducing and studying a class of new two-step viscosity iteration approximation methods for finding fixed points of set-valued nonexpansive mappings in CAT(0) spaces.
Ting-jian Xiong, Heng-you Lan
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