Fixed points of hemi-convex multifunctions

Seyed M. A. Aleomraninejad, Shahram Rezapour, Naseer Shahzad

Abstract


The notion of hemi-convex multifunctions is introduced. It is shown
that each convex multifunction is hemi-convex, but the converse is not true.
Some fixed point results for hemi-convex multifunctions are also proved.

Keywords


Convex multifunction; fixed point; hemi-convex multifunction

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