Title
Convergence of Ishikawa iterates of two mappings in modular function spaces
Publication Date
3-25-2014
Document Type
Article
Abstract
We establish convergence in the modular sense of an iteration scheme associated with a pair of mappings on a nonlinear domain in modular function spaces. In particular, we prove that such a scheme converges to a common fixed point of the mappings. Our results are generalization of known similar results in the non-modular setting. In particular, we avoid smoothness of the norm in the case of Banach spaces and that of the triangle inequality of the distance in metric spaces.
COinS
Comments
Abdou, A.A.N., Khamsi, M.A. & Khan, A.R. Fixed Point Theory Appl (2014) 2014: 74. https://doi.org/10.1186/1687-1812-2014-74