A class of nonlinear mixed ordered inclusion problems for ordered ( α A , λ ) -ANODM set-valued mappings with strong comparison mapping A
Hong Gang Li, Li Pei Li, Mao Ming Jin · Fixed Point Theory and Applications · 2014
The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the resolvent operator. Further, by using fixed point theory and the resolvent operator, the authors constructed and studied an approximation algorithm for this kind of problems, and they show the relation between the first valued and the solution of the problems. The results obtained seem to be general in nature. MSC:49J40, 47H06.