Title
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
Copyright Status
Unknown
Socpus ID
84951111834 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84951111834
STARS Citation
Mahato, N. K. and Mohapatra, R. N., "Applications Of Generalized Monotonicity To Variational-Like Inequalities And Equilibrium Problems" (2015). Scopus Export 2015-2019. 1830.
https://stars.library.ucf.edu/scopus2015/1830