Θ-monotone operators and bifunctions

Mohsen Alimohammady; Mohammad Alizadeh; Aida Jahangir; Maede Ramazannejad; Mehdi Roohi

doi:10.2298/fil2206819a

Θ-monotone operators and bifunctions

Mohsen Alimohammady
, Mohammad Alizadeh
, Aida Jahangir
, Maede Ramazannejad
, Mehdi Roohi^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

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.

Lingua originale	Inglese
pagine (da-a)	1819-1836
Numero di pagine	18
Rivista	Filomat
Volume	36
Numero di pubblicazione	6
DOI	https://doi.org/10.2298/fil2206819a
Stato di pubblicazione	Pubblicato - 2022

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

Local boundedness
θ-convexity
θ-monotone bifunction
θ-monotone operator

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10.2298/fil2206819a

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author = "Mohsen Alimohammady and Mohammad Alizadeh and Aida Jahangir and Maede Ramazannejad and Mehdi Roohi",

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doi = "10.2298/fil2206819a",

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AU - Alimohammady, Mohsen

AU - Alizadeh, Mohammad

AU - Jahangir, Aida

AU - Ramazannejad, Maede

AU - Roohi, Mehdi

PY - 2022

Y1 - 2022

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AB - 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.

KW - Local boundedness

KW - θ-convexity

KW - θ-monotone bifunction

KW - θ-monotone operator

KW - Local boundedness

KW - θ-convexity

KW - θ-monotone bifunction

KW - θ-monotone operator

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ER -

Θ-monotone operators and bifunctions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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