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Endpoints of set-valued contractions in metric spaces

Endpoints of set-valued contractions in metric spaces,10.1016/j.na.2009.06.074,Nonlinear Analysis-theory Methods & Applications,A. Amini-Harandi

Endpoints of set-valued contractions in metric spaces   (Citations: 3)
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Suppose (X,d) be a complete metric space, and suppose F:X→CB(X) be a set-valued map satisfies H(Fx,Fy)≤ψ(d(x,y)), for eachx,y∈X, where ψ:[0,∞)→[0,∞) is upper semicontinuous, ψ(t)t for each t>0 and satisfies lim inft→∞(t−ψ(t))>0. Then F has a unique endpoint if and only if F has the approximate endpoint property.
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