Abstract
We suggest and study the convergence of some new iterative schemes for solving nonconvex equilibrium problems in Banach spaces. Many existing results have been obtained as particular cases.
Highlights
Let X be a Banach space, and let X∗ be the dual space of X
In this paper we introduce and study two appropriate extensions of (EP(C, F)) from the convex case to the nonconvex case in Banach spaces setting
We consider the two following generalized equilibrium problems associated with C, ρ, and F (resp., denoted by (GEP1(C, ρ, F)) and (GEP2(C, ρ, F))): Find x ∈ C such that (GEP1(C, ρ, F))
Summary
Let X be a Banach space, and let X∗ be the dual space of X. (2) If X is a Hilbert space, C is a convex closed set in X, F is a convex bifunction, and ρ = 0, all the generalized equilibrium problems (GEP1(C, ρ, F)), (GEP2(C, ρ, F)), and (GEP3(C, ρ, F)) become as follows: Find x ∈ C such that (3)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
