Open AccessA fixed point theorem for G-monotone multivalued mapping with application to nonlinear integral equations
Author(s) -
Tayyab Kamran,
Calogero Vetro,
Muhammad Usman Ali,
Mehwish Waheed
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1707045k
Subject(s) - mathematics , fixed point theorem , monotone polygon , nonlinear system , metric space , generality , fixed point , pure mathematics , space (punctuation) , point (geometry) , discrete mathematics , construct (python library) , mathematical analysis , psychology , linguistics , philosophy , physics , geometry , quantum mechanics , computer science , psychotherapist , programming language
We extend notion and theorem of [21] to the case of a multivalued mapping defined on a metric space endowed with a finite number of graphs. We also construct an example to show the generality of our result over existing results. Finally, we give an application to nonlinear integral equations