Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843266 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 5 Pages |
Abstract
Suppose XX is a closed, convex and geodesically bounded subset of a complete RR-tree MM, and suppose F:X⊸MF:X⊸M is an almost lower semicontinuous set-valued map whose values are nonempty closed convex. Suppose also G:X⊸XG:X⊸X is a continuous, onto quasiconvex set-valued map with compact, convex values. Then there exists 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,