title: Generalized equilibrium problem with mixed relaxed monotonicity.
abstract: We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India.
authors.forename: Haider Abbas
authors.initials: HA
authors.lastname: Rizvi
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Selangor, Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kılıçman
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India.
authors.forename: Rais
authors.identifier: 0000-0001-6063-9832
authors.initials: R
authors.lastname: Ahmad
mesh_terms: D000465:Algorithms; D055641:Mathematical Concepts; D008962:Models, Theoretical