Open AccessFixed point theorems in the study of positive strict set-contractions
Author(s) -
Salima Mechrouk
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4354
Subject(s) - mathematics , fixed point theorem , banach space , contraction (grammar) , invariant (physics) , discrete mathematics , point (geometry) , pure mathematics , set (abstract data type) , coincidence point , cone (formal languages) , computer science , algorithm , geometry , mathematical physics , medicine , programming language
The author uses xed point index properties and Inspired by the work in Benmezai and Boucheneb (see Theorem 3.8 in [3]) to prove new xed point theorems for strict set-contraction dened on a Banach space and leaving invariant a cone.