Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842432 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 6 Pages |
Abstract
Suppose XX is a compact admissible subset of a hyperconvex metric spaces MM, and suppose F:X⊸MF:X⊸M is a quasi-lower semicontinuous set-valued map whose values are nonempty admissible. Suppose also G:X⊸XG:X⊸X is a continuous, onto quasi-convex set-valued map with compact, admissible values. Then there exists an x0∈Xx0∈X such that d(G(x0),F(x0))=infx∈Xd(x,F(x0)). As applications, we give some coincidence and fixed point results for weakly inward set-valued maps. Our results, generalize some well-known results in literature.
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Authors
A. Amini-Harandi, A.P. Farajzadeh,