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演講者:林英哲 主任(Department of Mathematics, National Kaohsiung Normal University)

講題:Some new convergence theorems under nonlinear conditions on metric spaces

時間:06/05(二)下午 13:30

地點:南大校區推廣大樓9407教室

摘要:In this paper, we establish some new convergence theorems for new nonlinear map- pings satisfying the following condition:

(C) there exists an MT -function φ : [0,∞) → [0, 1) such that

     d (T x, T y) ≤ φ(d(x, y)) max{ 1/3 [d(x, T x) + d(y, T y) + d(T x, T y)],

     1/4 [d(x, y) + d(y, T x) + d(x, T y) + d(T x, T y)]}

     + [1 − φ(d(x, y))]dist(A, B)

for all x ∈ A and y ∈ B.

 

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