Two Theorems, Fixed Point and Approximation for Multivalued Condensing Mapping in Wedges
AbstractLet E be a Hausdorff locally convex space and W be a wedge in E. Let D be an open subset of E and qŒD s.t. the closure of D in convex. If f : w ÆCK (W) is continuous condensing mapping, then there exists e0 (Œ w s.t.dPDW (f (e0), eo ) = dPDW (f (eo), w),where dPDW P is the Minkoskii function of DW in E. If dPDW (f (eo), w ) > o then eo Œ DW.
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