TY - JOUR
ID - 341
TI - On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Farajzadeh, Ali
AD - Department of Mathematics, Razi University, Kermanshah
Y1 - 2016
PY - 2016
VL - 7
IS - 1
SP - 295
EP - 300
KW - intermediate value theorem
KW - Fixed point
KW - increasing mapping
KW - algebraic interior
KW - normal cone
DO - 10.22075/ijnaa.2015.341
N2 - In this paper, a vector version of the intermediate value theorem is established. The main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{On fixed point theorems for monotone increasing vector valued mappings via scalarizing}, Positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixed point, relaxation of the relatively compactness and the continuity on the map with replacing topological interior of the cone by the algebraic interior. Moreover, by applying Ascoli-Arzela's theorem an example in order to show that the main theorem of the paper [textit{An intermediate value theorem for monotone operators in ordered Banach spaces}, Fixed point theory and applications, 2012 (1) (2012) 1-4] may fail, is established.
UR - https://ijnaa.semnan.ac.ir/article_341.html
L1 - https://ijnaa.semnan.ac.ir/article_341_ffd5a9c8d2472ec439f9cf564da35d43.pdf
ER -