Articles with "viscosity approximation" as a keyword



The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs

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Published in 2020 at "Journal of Fixed Point Theory and Applications"

DOI: 10.1007/s11784-020-00829-x

Abstract: Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient… read more here.

Keywords: approximation method; spaces endowed; hadamard spaces; mappings hadamard ... See more keywords

On the convergence of the trajectories of the dynamical Moudafi’s viscosity approximation system

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Published in 2024 at "Arabian Journal of Mathematics"

DOI: 10.1007/s40065-024-00457-0

Abstract: We study the asymptotic behavior of trajectories of the continuous dynamical system(CDS) associated with the discrete viscosity approximation method for fixed point problem of nonexpansive mapping (DDS) which was introduced by Moudafi (J Math Anal… read more here.

Keywords: usepackage; system; convergence trajectories; viscosity approximation ... See more keywords

The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems

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Published in 2018 at "Journal of Function Spaces"

DOI: 10.1155/2018/8056276

Abstract: In this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence… read more here.

Keywords: split generalized; gradient viscosity; approximation algorithm; viscosity approximation ... See more keywords

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

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Published in 2024 at "Abstract and Applied Analysis"

DOI: 10.1155/aaa/2812752

Abstract: The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the… read more here.

Keywords: equality generalized; viscosity approximation; generalized mixed; split equality ... See more keywords