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Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications
Author(s) -
Qiao Bao-min
Publication year - 2014
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2014/241942
Subject(s) - uniqueness , mathematics , monotone polygon , fixed point theorem , nonlinear system , operator (biology) , fixed point , binary number , iterative method , point (geometry) , cone (formal languages) , mathematical analysis , mathematical optimization , algorithm , physics , biochemistry , chemistry , geometry , arithmetic , repressor , quantum mechanics , transcription factor , gene
The existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory. Furthermore, error estimates for iterative sequences and some corresponding results are obtained. Finally, the applications of our results are given

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