Applications Of Generalized Monotonicity To Variational-Like Inequalities And Equilibrium Problems

Keywords

(ρ-θ)-monotonicity; Equilibrium problem; KKM mapping; Relaxed (ρ-θ)-η-invariant monotonicity; Variational-like inequality problem

Abstract

In this paper, we introduce the concept of relaxed (ρ-θ)-η-invariant monotonicity to establish the existence of solutions for variational-like inequality problems in reflexive Banach spaces. Again we introduce the concept of (ρ-θ)- monotonicity for bifunctions. The existence of solution for equilibrium problem with (ρ-θ)-monotonicity is established by using the KKM technique.

Publication Date

1-1-2015

Publication Title

Springer Proceedings in Mathematics and Statistics

Volume

143

Number of Pages

159-168

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/978-81-322-2485-3_12

Socpus ID

84951111834 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84951111834

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