Mixed equilibrium problems with relaxed $$\alpha $$ -monotone mapping in Banach spaces

Mixed Equilibrium Problems with Weakly Relaxedα-Monotone Bifunction in Banach Spaces

“…The existence of solutions for mixed equilibrium problems with bi-function in such class is given. Our results in this paper extend and improve the results of Mahato and Nahak [19] and many results in the literature.…”

“…Recently, Mahato and Nahak [19] introduce the concept of the relaxed -monotonicity for bi-functions. They also obtained the existence of solutions for mixed equilibrium 2 Journal of Function Spaces and Applications problems with the relaxed -monotone bi-function in reflexive Banach spaces, by using the KKM technique.…”

Existence Results for Some Equilibrium Problems Involvingα-Monotone Bifunction

“…(2) If Ψ( , ) = Ψ( ) − Ψ( ) ∀ ∈ then problem (1) is reduced to the mixed equilibrium problem (for short, MEP); see [11].…”

On the existence of solutions of generalized equilibrium problems with α−β−η -monotone mappings

“…Onjai-uea and his colleagues in [15] presented a relaxed hybrid steepest method to find a common element for the set of fixed points of a nonexpansive mapping, the set of solutions of a variational inequality for an inverse-strongly monotone mapping and the set of solutions of generalized mixed equilibrium problems in Hilbert spaces. In 2013, Mahato and Nahak published a paper in which they obtained the existence results for mixed equilibrium problems in a reflexive Banach space [12]. Ding and his colleagues considered a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces [8].…”