A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces
Loading...
Date
Authors
Ugwunnadi, Godwin Chidi
Khan, Abdul Rahim
Abbas, Mujahid
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
We introduce a hybrid proximal point algorithm and establish its strong convergence to a common solution of a proximal point of a lower semi-continuous mapping and a fixed point of a demicontractive mapping in the framework of a CAT(0) space. As applications of our new result, we solve variational inequality problems for these mappings on a Hilbert space. Illustrative example is given to validate theoretical result obtained herein.
Description
Keywords
Proximal point, CAT(0) space, Strong convergence, △ convergence, Fixed point, Demicontractive mapping
Sustainable Development Goals
Citation
Ugwunnadi, G.C., Khan, A.R. & Abbas, M. J. A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces. ournal of Fixed Point Theory and Applications. (2018) 20: 82. https://doi.org/10.1007/s11784-018-0555-0.