6533b855fe1ef96bd12b0ae0

RESEARCH PRODUCT

Caristi Type Selections of Multivalued Mappings

Calogero VetroFrancesca Vetro

subject

Discrete mathematicsSelection (relational algebra)Article Subjectlcsh:MathematicsMULTIVALUED CONTRACTION MAPPINGSType (model theory)Fixed pointlcsh:QA1-939METRIC SPACESMetric spaceFIXED-POINT THEOREMSettore MAT/05 - Analisi MatematicaPoint (geometry)Settore MAT/03 - GeometriaAnalysisMathematics

description

Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.

yearjournalcountryeditionlanguage
2015-01-01Journal of Function Spaces
10.1155/2015/941856http://dx.doi.org/10.1155/2015/941856