6533b859fe1ef96bd12b7c5e

RESEARCH PRODUCT

Fixed point theorems for $\alpha$-$\psi$-contractive type mappings

B SametCalogero VetroPasquale Vetro

subject

Fixed point coupled fixed point contractive mappingSettore MAT/05 - Analisi Matematica

description

In this paper, we introduce a new concept of $\alpha$-$\psi$-contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the Banach contraction principle, the presented theorems extend, generalize and improve many existing results in the literature. Moreover, some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results.

10.1016/j.na.2011.10.014http://hdl.handle.net/10447/61030