The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove the demiclosed principle for this kind of mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnoselskii-Mann type iteration for total asymptotically nonexpansive mappings in this setting. Our results extend and improve the corresponding recent results announced by many authors.
- CAT(0) space
- Demiclosed principle
- Krasnoselskii-Mann type iteration
- Total asymptotically nonexpansive mappings
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics