Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with (α,λ)-NODSM mappings in ordered Banach spaces

Hong Li, Li Li, Ji Zheng, Mao Jin
2014 Fixed Point Theory and Applications  
In this paper, a new class of general set-valued parametric ordered variational inclusions, θ ∈ M(x, g(x, ρ), ρ), with (α, λ)-NODSM mappings is studied in ordered Banach spaces. Then, by using fixed point theory and the resolvent operator associated with (α, λ)-NODSM set-valued mappings, an existence theorem and a sensitivity analysis of the solution set for this kind of parametric variational inclusion is proved and discussed in ordered Banach spaces. The obtained results seem to be general in
more » ... em to be general in nature. MSC: 49J40; 47H06
doi:10.1186/1687-1812-2014-122 fatcat:rp4owsp64jbsbmvzdo7c4torlm