On the translations of quasimonotone maps and monotonicity-Reference-Cited by-同舟云学术

On the translations of quasimonotone maps and monotonicity

Published:2012-08-31 Issue:1 Volume:2012 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Farajzadeh AP,Karamian A,Plubtieng S

Abstract

Abstract We show that given a convex subset K of a topological vector space X and a multivalued map T : K ⇉ X ∗ , if there exists a nonempty subset S of X ∗ with the surjective property on K and T + w is quasimonotone for each w ∈ S , then T is monotone. Our result is a new version of the result obtained by N. Hadjisavvas (Appl. Math. Lett. 19:913-915, 2006).

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2012-192.pdf

Reference5 articles.

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