General hybrid -proximal point algorithm frameworks for finding common solutions of nonlinear operator equations and fixed point problems

Autor:	Lecai Cai, Heng-You Lan, Shulin Wu
Rok vydání:	2013
Předmět:	Semi-elliptic operator Numerical Analysis Pseudo-monotone operator Multiplication operator Applied Mathematics Modeling and Simulation Finite-rank operator Resolvent formalism Shift operator Compact operator Algorithm Mathematics Quasinormal operator
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 18:895-904
ISSN:	1007-5704
Popis:	In this paper, we introduce and study a new general class of hybrid ( A , η , m ) -proximal point algorithm frameworks for finding the common solutions of nonlinear operator equations and fixed point problems of Lipschitz continuous operators in Hilbert spaces. Further, by using the generalized resolvent operator technique associated with ( A , η , m ) -maximal monotone operators, we discuss the approximation solvability of the operator equation problems and the convergence of iterative sequences generated by the algorithm frameworks. Finally, using software Matlab 7.0, the numerical simulation examples are given to illustrate the validity of main results presented in this paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ca596eac656599e829ceaadfbf009afd https://doi.org/10.1016/j.cnsns.2012.08.026 Zobrazit plný text záznamu Full Text from ScienceDirect