A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces |
| |
| Authors: | Godwin Chidi Ugwunnadi Abdul Rahim Khan Mujahid Abbas |
| |
| Affiliation: | 1.Department of Mathematics,University of Swaziland,Kwaluseni,Swaziland;2.Department of Mathematics and Statistics,King Fahd University of Petroleum and Minerals,Dhahran,Saudi Arabia;3.Department of Mathematics and Applied Mathematics,University of Pretoria,Pretoria,South Africa |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
