On Mixed Equilibrium Problems in Hadamard Spaces
التاريخ
2019المؤلف
Izuchukwu, ChineduAremu, Kazeem Olalekan
Oyewole, Olawale Kazeem
Mewomo, Oluwatosin Temitope
Khan, Safeer Hussain
البيانات الوصفية
عرض كامل للتسجيلةالملخص
The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a ?-convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halpern-type PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature. - 2019 Chinedu Izuchukwu et al.
المجموعات
- الرياضيات والإحصاء والفيزياء [722 items ]