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Multiple positive fixed points for the sum of expansive mappings and k ‐set contractions
Author(s) -
Benzenati Lyna,
Mebarki Karima
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5662
Subject(s) - mathematics , expansive , fixed point , regular polygon , operator (biology) , constant (computer programming) , contraction (grammar) , set (abstract data type) , combinatorics , discrete mathematics , mathematical analysis , pure mathematics , geometry , computer science , medicine , chemistry , materials science , compressive strength , repressor , transcription factor , composite material , programming language , biochemistry , gene
In this work, we are concerned with the existence of multiple positive fixed points for the sum of an expansive mapping with constant h > 1 and a k ‐set contraction when 0 ≤ k < h − 1. In particular, the case of the sum of an expansive mapping with constant h > 1 and an e ‐concave operator and an e ‐convex operator is considered. Two examples of application illustrate some of the theoretical results.