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Some Operations on Mixed Monotone Operator in Banach Spaces Badrulfalah Badrulfalah; I Irianingsih; Khafsah Joebaedi
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 19 No. 2 (2018): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (913.289 KB) | DOI: 10.24036/eksakta/vol19-iss2/150

Abstract

This paper discusses some operations on mixed monotone operator in Banach space, especially addition an multiplication operations. We will prove the sum and product of two mixed monotone operators. The proof using some relevant definitions. The result is the sum o of them is a mixed monotone operator and the product is too if both satisfy some conditions