STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE

Sun Young Cho

doi:10.11948/2018.19

2018 Volume 8 Issue 1

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Sun Young Cho. STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 19-31. doi: 10.11948/2018.19

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Sun Young Cho. STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 19-31. doi: 10.11948/2018.19

STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE

Sun Young Cho

Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, Sichuan, China

Abstract

Abstract

In this paper, a hybrid algorithm is investigated for an asymptotically quasi-φ-nonexpansive mapping in the intermediate sense and a bifunction. Strong convergence of the algorithm is obtained in a strictly convex, smooth and reflexive Banach space.
- Quasi-φ-nonexpansive mapping /
- equilibrium problem /
- generalized projection /
- variational inequality
MSC: 47J20;90C33

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References

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