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Title: | Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space |
Authors: | Izuchukwu, C Mebawondu, A. A Aremu, K. O Abass, H. A Mewomo, O. T |
Keywords: | Monotone operators · Convex feasibility problems · Variational inequalities · Minimization problems · Viscosity iterations · CAT(0) space |
Issue Date: | 2020 |
Publisher: | Rendiconti del Circolo Matematico di Palermo Series |
Citation: | C. Izuchukwu, C. Mebawondu, · A. A., Aremu, · K. O., Abass, H. A. & Mewomo, · O. T. (2020). Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space. Rendiconti del Circolo Matematico di Palermo Series 2 (2020) 69:475–495 https://doi.org/10.1007/s12215-019-00415-2 |
Series/Report no.: | 69;475–495 |
Abstract: | The main purpose of this paper is to introduce some viscosity-type proximal point algorithms which comprise of a nonexpansive mapping and a finite sum of resolvents of monotone operators, and prove their strong convergence to a common zero of a finite family of monotone operators which is also a fixed point of a nonexpansive mapping and a unique solution of some variational inequality problems in a Hadamard space. We apply our results to solve a finite family of convex minimization problems, variational inequality problems, and convex feasibility problems |
URI: | http://localhost:8080/xmlui/handle/123456789/300 |
Appears in Collections: | Mathematics |
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