Abstract
The purpose of this is to study the Noor iteration process for the sequence {xn} converges to a common fix point for enumerable class of continuous hemi contractive mapping in Banach spaces.
Highlights
Let E be a real Banach space and let J denote the normalized duality mapping from E to E* defined byJ (x) = { f ∈ E* : x, f = x f, x = f for all x ∈ E, Lemma 3.4: Let δ be a number satisfying 0≤ δ < 1 and {∈n}a positive sequence satisfying limn→∞ ∈n =0 [4,5]
For any positive sequence {un} satisfying: un+1 ≤ δ un + ∈n, It follows that limn→∞un = 0
Where E* denotes the dual space of E and .,. denotes the generalization duality pair
Summary
Let E be a real Banach space and let J denote the normalized duality mapping from E to E* defined by J (x) = { f ∈ E* : x, f = x f , x = f for all x ∈ E, Lemma 3.4: Let δ be a number satisfying 0≤ δ < 1 and {∈n} A positive sequence satisfying limn→∞ ∈n =0 [4,5].
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