Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces

Abstract

This paper we deals with the approximation of fixed point for multi-valued nonexpansive mappings through a new iterative process which is independent and faster than the iterative processes discussed by Khan and Yildirim [7], Panyank [14], Sastry and Babu [15], Shahzad and Zegeye [18], Song and Wang [19], and Song and Cho [20], in uniformly convex Banach spaces. Thus, our results extend and improve the results which appears on multi-valued and single valued mappings in the contemporary literature.