Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 9 | Download : 7

Publication Date : 2021-12-30

Article Type : Research Paper

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

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