6533b834fe1ef96bd129d797

RESEARCH PRODUCT

A note on some fundamental results in complete gauge spaces and application

Francesca VetroMohamed JleliCalogero VetroBessem Samet

subject

gauge structureApplied MathematicsMonotonic functionExtension (predicate logic)Type (model theory)Fixed pointordinary differential equationAlgebraApplied MathematicNonlinear systemDifferential geometryfixed pointmonotone operatorInitial value problemGeometry and TopologySettore MAT/03 - GeometriaComplement (set theory)Mathematics

description

We discuss the extension of some fundamental results in nonlinear analysis to the setting of gauge spaces. In particular, we establish Ekeland type and Caristi type results under suitable hypotheses for mappings and cyclic mappings. Our theorems generalize and complement some analogous results in the literature, also in the sense of ordered sets and oriented graphs. We apply our results to establishing the existence of solution to a second order nonlinear initial value problem.

yearjournalcountryeditionlanguage
2015-04-29
10.1186/s13663-015-0311-8http://hdl.handle.net/10447/126442