Existence theorems of iterative solutions for nonlinear operator equations and applications

Acta Mathematica Scientia

Volumn 21, Issue 3, 2001, Pages 403-404

  Zhang, Xiaoyan ^a   Liu, Lishan ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

Cone; Iterative solution; Operator equation; Ordered semi continuous

Indexed keywords

EID: 0041880485     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Guo Dajun, Lakshmikantham V. Nonlinear problems inabstract cones. New York: Academic Press, 1988
2. Guo Dajun, Lakshmikantham V. Coupled fixed points of nonlinear operators with applications. Nonlinear Anal TMA, 1987, 11: 623-632
3. Deimling K. Nonlinear functional analysis. Berlin:Springer-Verlag, 1985
4. Liu Lishan. Iterative method for solutions and coupled quasi-solutions of nonlinear Fredholm integral equations in ordered Banach spaces. Indian J pure Appl Math, 1996, 27(10): 956-972
5. Heinz H P. On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions. Nonlinear Anal, 1983, 7(12) : 1351-1371
6. Guo Dajun. Extremal solutions of nonlinear Fredholm integral equations in ordered Banach spaces. Northeastern Maths J, 1991, 7(4): 416-423