Skip to main content

Fixed points of multimaps which are not necessarily nonexpansive


Let be a nonempty closed bounded convex subset of a Banach space whose characteristic of noncompact convexity is less than and a continuous - -contractive map (which is not necessarily nonexpansive) from to satisfying an inwardness condition, where is the family of all nonempty compact convex subsets of . It is proved that has a fixed point. Some fixed points results for noncontinuous maps are also derived as applications. Our result contains, as a special case, a recent result of Benavides and Ramírez (2004).

Author information



Corresponding author

Correspondence to Naseer Shahzad.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Shahzad, N., Lone, A. Fixed points of multimaps which are not necessarily nonexpansive. Fixed Point Theory Appl 2005, 286519 (2005).

Download citation