Document Type : Research Paper

Authors

• Dhuha M. Abbas
• Ayed E. Hashoosh
• Wijdan Saeed Abed

Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

Abstract

In this paper, the concept of $\eta\xi$-monotonous operator is explored using KKM mapping. The  existence results and uniqueness dened on its bounded and unbounded domains are discussed. Our ndings improve and develop some well-known solutions in literature.

Keywords

• Monotonicity
• Equilibrium problem set-valued mapping
• Hemicoutinuity
• KKM-mapping
• Semi continuouse
• Convex function