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2 Demonstratio Mathematica

2 2007

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Noncommuting maps and invariant approximations

Hussain N., Latif A., Al-Mezel S.

Demonstratio Mathematica

2007

Vol. 40, nr 4

895-905

We obtain common fixed point results for generalized I-nonexpansive compatible as well as weakly compatible maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.

Fixed point theorems for set nd single valued maps witout continuity and compatibility

Sharma S., Deshpande B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

649-658

The new concept of weak commutativity of type (KB) is used to prove some fixed point theorems for set and single-valued mappings. We show that continuity of any mapping is not necessary for the existence of common fixed point. We also show that completeness of the whole space can be replaced by a weaker condition.