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Well-posednessofafixedpoint...
From(18)andtheassumption(b)of(A4),wededucethat
(19)
d(Twn,z)+d(z,wn)≤ψ(d(z,wn))−→0asn−→fl.
11
From(19)wededucethatthesequence{T(wn)}convergestoz=Tz.
Hence,Tiscontinuousatitsuniquefixedpointz.Thustheassertion(iii)
isprovedandthisendstheproof.
.
Acknowledgement.Ithankverymuchtheanonymousrefereeforhis
(orher)helpfulcomments.
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