6533b7d7fe1ef96bd1267bf5

RESEARCH PRODUCT

Approximate fixed points of set-valued mapping in b-metric space

Francesca VetroBessem SametCalogero Vetro

subject

Discrete mathematicsAlgebra and Number Theory010102 general mathematicsb-metric space η-contraction fixed point theorem integral inclusionFixed point01 natural sciences010101 applied mathematicsSet (abstract data type)Metric spaceSettore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometria0101 mathematicsComposite materialAnalysisMathematics

description

We establish existence results related to approximate fixed point property of special types of set-valued contraction mappings, in the setting of b-metric spaces. As consequences of the main theorem, we give some fixed point results which generalize and extend various fixed point theorems in the existing literature. A simple example illustrates the new theory. Finally, we apply our results to establishing the existence of solution for some differential and integral problems.

yearjournalcountryeditionlanguage
2016-06-10
http://hdl.handle.net/10447/213219