Approximating extent measures of points

Approximating fixed points of generalized nonexpansive mappings

approximating fixed points of generalized nonexpansive mappings

Chapter 23 Approximating the Extent of Lines , Hyperplanes and Moving Points

x Once I sat on the steps by a gate of David's Tower, I placed my two heavy baskets at my side. A group of tourists was standing around their guide and I became their target marker. " You see that man with the baskets? Just right of his head there's an arch from the Roman period. Just right of his head. " " But he's moving, he's moving! " I said to myself: redemption will come only if their gui...

New iteration process for approximating fixed points in Banach spaces

‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings‎. ‎We also present a numerical example for proving the rate of convergence of our res...

Approximating Fixed Points of Nonexpansive Mappings

We consider a mapping S of the form S =α0I+α1T1+α2T2+···+αkTk, where αi ≥ 0, α0 > 0, α1 > 0 and ∑k i=0αi = 1. We show that the Picard iterates of S converge to a common fixed point of Ti (i = 1,2, . . . ,k) in a Banach space when Ti (i = 1,2, . . . ,k) are nonexpansive.