Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

Lu Chuan Ceng; Sy Ming Guu; Jen Chih Yao

doi:10.1016/j.camwa.2010.05.035

Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

Lu Chuan Ceng
, Sy Ming Guu^*
, Jen Chih Yao

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

1 Scopus citations

Abstract

In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.

Original language	English
Pages (from-to)	890-905
Number of pages	16
Journal	Computers and Mathematics with Applications
Volume	60
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2010.05.035
State	Published - 08 2010
Externally published	Yes

Keywords

Banach contraction principle
Fixed point
Inverse-strongly monotone mapping
Lipschitz continuity
Strongly monotone mapping
System of generalized nonlinear mixed composite-type equilibria

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10.1016/j.camwa.2010.05.035

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title = "Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria",

abstract = "In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.",

keywords = "Banach contraction principle, Fixed point, Inverse-strongly monotone mapping, Lipschitz continuity, Strongly monotone mapping, System of generalized nonlinear mixed composite-type equilibria",

author = "Ceng, \{Lu Chuan\} and Guu, \{Sy Ming\} and Yao, \{Jen Chih\}",

year = "2010",

month = aug,

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T1 - Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

AU - Ceng, Lu Chuan

AU - Guu, Sy Ming

AU - Yao, Jen Chih

PY - 2010/8

Y1 - 2010/8

N2 - In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.

AB - In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.

KW - Banach contraction principle

KW - Fixed point

KW - Inverse-strongly monotone mapping

KW - Lipschitz continuity

KW - Strongly monotone mapping

KW - System of generalized nonlinear mixed composite-type equilibria

UR - https://www.scopus.com/pages/publications/77955419736

U2 - 10.1016/j.camwa.2010.05.035

DO - 10.1016/j.camwa.2010.05.035

M3 - 文章

AN - SCOPUS:77955419736

SN - 0898-1221

VL - 60

SP - 890

EP - 905

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3

ER -

Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

Abstract

Keywords

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