doiSerbia

Fixed point theory for multivalued generalized nonexpansive mappings

García-Falset Jesús (Departamento de Análisis Matemático Facultad de Matemáticas, Universitat de Valencia Burjassot, Valencia, Spain)
Llorens-Fuster Enrique (Departamento de Análisis Matemático Facultad de Matemáticas, Universitat de Valencia Burjassot, Valencia, Spain)
Moreno-Gálvez Elena (Departamento de Matemáticas, Ciencias Naturales y Ciencias Sociales aplicadas a la educación, Universidad Católica de Valencia San Vicente Mártir, Godella, Valencia, Spain)

A very general class of multivalued generalized nonexpansive mappings is defined. We also give some fixed point results for these mappings, and finally we compare and separate this class from the other multivalued generalized nonexpansive mappings introduced in the recent literature.

Keywords: multivalued mappings, generalized nonexpansive mappings, asymptotic centers, fixed points, normal structure