Common Fixed Points of a Countable Family of I-Nonexpansive Multivalued Mappings in Banach Spaces

Poonam Lata Sagar^1, and S.K. Malhotra²

¹Samrat Ashok Technological Institute, Vidisha (M.P.) India

²M.P. Professional Board of Examination, Bhopal (M.P.) India

Cite this paper

Poonam Lata Sagar and S.K. Malhotra. Common Fixed Points of a Countable Family of I-Nonexpansive Multivalued Mappings in Banach Spaces. American Journal of Applied Mathematics and Statistics. 2014; 2(4):239-243. doi: 10.12691/AJAMS-2-4-12

Abstract

In this paper, we introduce a modified Ishikawa iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of I-Nonexpansive multi-valued mappings.

Keywords

I-Nonexpansive multi-valued mapping, fixed point, weak convergence, strong convergence, Banach space, Ishikawa iteration

Copyright

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