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.
| Original language | English |
|---|---|
| Article number | 82 |
| Journal | Journal of Fixed Point Theory and Applications |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jun 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer International Publishing AG, part of Springer Nature.
Keywords
- CAT(0) space
- Proximal point
- demicontractive mapping
- fixed point
- strong convergence
- ▵ convergence
ASJC Scopus subject areas
- Modeling and Simulation
- Geometry and Topology
- Applied Mathematics
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