Fixed-point theory for weakly sequentially continuous mappings. (English) Zbl 1185.34026

O’Regan, D.

Math. Comput. Modelling 27, No. 5, 1-14 (1998).

Summary: Some fixed-point theorems are established for weakly contractive operators. These results will then be used to establish existence principles for functional, differential, and integral equations.

MSC:

34B15	Nonlinear boundary value problems for ordinary differential equations
47H10	Fixed-point theorems
45G10	Other nonlinear integral equations
47N20	Applications of operator theory to differential and integral equations

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