半收缩映射的分裂共不动点问题的一种具有惯性效应的粘性方法

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2022-01-01 DOI:10.23952/jnfa.2022.17

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A viscosity method with inertial effects for split common fixed point problems of demicontractive mappings

. In this paper, we ﬁrst propose a new algorithm for the split common ﬁxed point problems of demicontractive mappings based on viscosity methods and inertial effects in Hilbert spaces. The algorithm is constructed in such a way that its step sizes are not related to the norm of a bounded linear operator. Then, we prove some strong convergence theorems under some suitable conditions. Finally, we provide a numerical example to show the effectiveness of our proposed algorithm. Our results generalize and improve some known results announced recently.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.