The Solutions of Mixed Hemiequilibrium Problem with Application in Sobolev Space

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Alwan, Alyaa A.^1 ; Naser, Hasan A.^1 ; Hashoosh, Ayed E.^1

College of Education of Pure Sciences, Thi-Qar University, Iraq^1

关键词: Differential inclusions;    Existence and uniqueness of solution;    Existence of Solutions;    Fixed point theorems;    hemiequilibrium problem;    Monotone bifunction;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012019/pdf
DOI  :  10.1088/1757-899X/571/1/012019

来源: IOP

【 摘 要 】

The present work deals with the existence and uniqueness of solutions for new class of hemiequilibrium problems θ( x,y )+ν( y )-ν( x )+ P 0 ( Ωx;Ωδ( x,y ) )≥0. The proof of the first result is based on arguments of Tarafdar's theorem involving ψ-monotone bifunction. Moreover, an application to the existence of solution for a differential inclusion is given.