Θ-monotone operators and bifunctions
Filomat, Tome 36 (2022) no. 6, p. 1819
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The purpose of this paper is to introduce and investigate θ-monotone operators and θ-monotone bifunctions in the context of Banach space. Local boundedness of θ-monotone bifunctions in the interior of their domains is proved. Also, the difference of two θ-monotone operators is studied. Moreover, some relations between θ-monotonicity and θ-convexity are investigated.
Classification :
47H05, 47H07, 47H04
Keywords: θ-monotone operator, θ-monotone bifunction, Local boundedness, θ-convexity
Keywords: θ-monotone operator, θ-monotone bifunction, Local boundedness, θ-convexity
Mohsen Alimohammady; Mohammad Hossein Alizadeh; Aida Jahangir; Maede Ramazannejad; Mehdi Roohi. Θ-monotone operators and bifunctions. Filomat, Tome 36 (2022) no. 6, p. 1819 . doi: 10.2298/FIL2206819A
@article{10_2298_FIL2206819A,
author = {Mohsen Alimohammady and Mohammad Hossein Alizadeh and Aida Jahangir and Maede Ramazannejad and Mehdi Roohi},
title = {\ensuremath{\Theta}-monotone operators and bifunctions},
journal = {Filomat},
pages = {1819 },
year = {2022},
volume = {36},
number = {6},
doi = {10.2298/FIL2206819A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206819A/}
}
TY - JOUR AU - Mohsen Alimohammady AU - Mohammad Hossein Alizadeh AU - Aida Jahangir AU - Maede Ramazannejad AU - Mehdi Roohi TI - Θ-monotone operators and bifunctions JO - Filomat PY - 2022 SP - 1819 VL - 36 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2206819A/ DO - 10.2298/FIL2206819A LA - en ID - 10_2298_FIL2206819A ER -
%0 Journal Article %A Mohsen Alimohammady %A Mohammad Hossein Alizadeh %A Aida Jahangir %A Maede Ramazannejad %A Mehdi Roohi %T Θ-monotone operators and bifunctions %J Filomat %D 2022 %P 1819 %V 36 %N 6 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2206819A/ %R 10.2298/FIL2206819A %G en %F 10_2298_FIL2206819A
Cité par Sources :