شماره ركورد كنفرانس :
3502
عنوان مقاله :
Contractive and Nonexpansive Mappings in Partially Ordered Ultrametric Spaces
Author/Authors :
H Mamghaderi Faculty of Mathematics - K. N. Toosi Universioty, Tehran, Iran , S. H. P Masiha Faculty of Mathematics - K. N. Toosi Universioty, Tehran, Iran
كليدواژه :
Fixed point , partially ordered set , ultrametric space , set valued mapping , nonexpasive mapping
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let (X; d;⪯) be a partially ordered ultrametric space and F:X X and T: X → CB(X) be a single valued and set valued mappings respectively. We give sufficient conditions for the existence of a fixed point for the contractive mappings F and 1 in the partially ordered ultrametric space X. We also investigate the existence of a fixed point for the nonexpansive mapping under those conditions.