Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds

In this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Sever...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 5; pp. 5205 - 5221
Main Authors Dilshad, Mohammad, Khan, Aysha, Akram, Mohammad
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
fixed point problem
hadamard manifold
nonexpansive mapping
splitting type viscosity method
variational inclusion
variational inquality
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ISSN2473-6988
2473-6988
DOI10.3934/math.2021309

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Summary:In this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Several special cases of the proposed iterative methods are also discussed. Finally, some applications to solve the variational inequality, optimization and fixed point problems are given on Hadamard manifolds.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021309