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A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS
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作者 张石生 唐金芳 温庆丰 《Acta Mathematica Scientia》 SCIE CSCD 2021年第4期1250-1262,共13页
In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-c... In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds.As applications,we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds. 展开更多
关键词 Monotone inclusion problem quasi-pseudo-contractive mapping demi-contraction mapping maximal monotone vector field quasi-nonexpansive mappings Hadamard manifold
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Composite Minimization Problems in Hadamard Spaces
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作者 Lili Wan 《Journal of Applied Mathematics and Physics》 2020年第4期597-608,共12页
In this paper, we prove some Δ-convergence and strong convergence results for the sequence generated by a new algorithm to a minimizer of two convex functions and a common fixed point for quasi-pseudo-contractive map... In this paper, we prove some Δ-convergence and strong convergence results for the sequence generated by a new algorithm to a minimizer of two convex functions and a common fixed point for quasi-pseudo-contractive mappings in Hadamard spaces. Our theorems improve and generalize some recent results in the literature. 展开更多
关键词 HADAMARD SPACES COMPOSITE MINIMIZATION Common Fixed Points quasi-pseudo-contractive MAPPINGS QUASILINEARIZATION
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