- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 4
- Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces
Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces
Authors : Rahul SHUKLA, Rajendra PANT
Pages : 559-567
Doi:10.31197/atnaa.954446
View : 6 | Download : 3
Publication Date : 2021-12-30
Article Type : Research
Abstract :We study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Krasnosel'skii iterative method to approximate fixed points of enriched nonexpansive under different conditions. This way a number of results from the literature have been extended, generalized and complemented.Keywords : Nonexpnasive mapping, Enriched nonexpansive mapping, Banach space