Abstract
In this paper, we introduce and study strong convergence of a proximal point algorithm for approximating common solution of a finite family of monotone inclusion problems and fixed point problem of a generalized demimetric mapping in complete CAT(0) spaces. An illustrative example is given to validate theoretical result obtained herein. Our results improve and generalize some well-known results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 365-387 |
| Number of pages | 23 |
| Journal | Rendiconti del Circolo Matematico di Palermo |
| Volume | 70 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2020, Springer-Verlag Italia S.r.l., part of Springer Nature.
Keywords
- CAT(0) space
- Fixed point
- Generalized demimetric mapping
- Monotone inclusion
- Strong convergence
- ▵-convergence
ASJC Scopus subject areas
- General Mathematics