New results on system of generalized quasi-Ky Fan inequalities with set-valued mappings in topological semilattice spaces

Abstract

Under new assumptions, this paper obtains some extended versions of Ky Fan type inequality for a family of C-continuous set-valued mappings in the setting of topological semilattices. The obtained results are new and different from the corresponding known results in the literature. Some special cases of the main result are also discussed. Some examples are given to illustrate the results.