We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Fixed point theorems and T-stability of Picard iteration for generalized Lipschitz mappings in cone metric spaces over Banach algebras.
- Authors
Huaping Huang; Shaoyuan Xu; Hao Liu; Radenović, Stojan
- Abstract
In this paper, we obtain the existence of non-normal solid cone and some fixed point theorems for generalized Lipschitz contractive mappings in cone metric spaces over Banach algebras. Our results greatly generalize the main work by Xu and Radenović (Fixed Point Theory and Applications, 2014, 2014: 102). Moreover, we verify the P property and T-stability of Picard's iteration. Further, we give an example to illustrate that our works are never a copy of metric results in the literature.
- Subjects
FIXED point theory; STABILITY theory; ITERATIVE methods (Mathematics); LIPSCHITZ spaces; MATHEMATICAL mappings; METRIC spaces; BANACH algebras
- Publication
Journal of Computational Analysis & Applications, 2016, Vol 20, Issue 5, p869
- ISSN
1521-1398
- Publication type
Article