Title of article :
A TARSKI TYPE FIXED POINT THEOREM FOR SET-VALUED MAPPINGS
Author/Authors :
ZEYADA ، FATHEI M. - King Khaled University , SOLIMAN ، AHMED H. - Azarbaijan Shahid Madani University , IMDAD ، MOHAMMAD - Aligarh Muslim University
Abstract :
Takao Fujimoto [Math. Program., 28(1984), 116-118] proved an extension of Tarski’s fixed point theorem for set-valued mappings with values in some types of posets. Our aim to prove an extension of this result for set valued mappings with values in a set equipped with a transitive binary relation.
Keywords :
Isotone complementarity problems , complete lattice , isotone set , valued mappings , Tarski’s fixed point theorem
Journal title :
Journal of Advanced Mathematical Studies
Journal title :
Journal of Advanced Mathematical Studies