6533b7d2fe1ef96bd125e200

RESEARCH PRODUCT

Fixed point theorems for multivalued maps via new auxiliary function

Muhammad Usman AliCalogero Vetro

subject

Applied Mathematics010102 general mathematicslcsh:QA299.6-433Fixed-point theoremlcsh:AnalysisFixed pointAuxiliary function01 natural sciencesAlgebraSettore MAT/05 - Analisi MatematicaCalculusα-admissible mapsMetric spaceα-admissible map0101 mathematicsAnalysisMathematics

description

We introduce a contractive condition involving new auxiliary function and prove a fixed point theorem for closed multivalued maps on complete metric spaces. An example and an application to integral equation are given in support of our findings.

https://doi.org/10.15388/na.2017.1.6