The existence of uniqueness non standard equilibrium problems

نویسندگان
Hashoosh, Ayed E. ID 1
Abbas, Dhuha M. ID 2
Abed, Wijdan Saeed ID 3

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

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

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

doi
10.22075/ijnaa.2021.5004
چکیده

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

کلیدواژه‌ها
Monotonicity, Equilibrium problem set-valued mapping, Hemicoutinuity, KKM-mapping, Semi continuouse, convex function