Open AccessA fixed point problem under a finite number of equality constraints involving a Ciric operator
Author(s) -
Vladimir Rakočević,
Bessem Samet
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/fil1711193r
Subject(s) - mathematics , banach space , cone (formal languages) , fixed point theorem , operator (biology) , fixed point , contraction (grammar) , pure mathematics , discrete mathematics , mathematical analysis , algorithm , biochemistry , chemistry , repressor , transcription factor , gene , medicine
Let (E,???) be a Banach space with a cone P. Let T,?i : E ? E (i = 1,2,...,r) be a finite number of mappings. We obtain sufficient conditions for the existence of solutions to the problem {(Tx = x, ?i(x)=0E, i=1,2,..., r, where 0E is the zero vector of E, and T is a mapping satisfying a Ciric-contraction. Some interesting consequences are deduced from our main results.