Krasnoselski–Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems

نویسندگان

چکیده

Abstract In this paper, we present Krasnoselski–Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems k -strictly pseudocontractive nonself-mappings. We establish that the weak convergence of proposed accelerated iterative with terms involves a step size which does not require any prior knowledge operator norm under several suitable conditions in Hilbert spaces. Finally, application to Nash–Cournot oligopolistic market model is discussed, numerical examples are provided demonstrate effectiveness our method.

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2021

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-021-02632-9