Multivalued nonexpansive mappings in Banach spaces

58 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Strong convergence results for nonself multimaps in Banach spaces (2007, background): “We know that if D is a nonempty closed bounded convex subset of a uniformly convex Banach space E and T : D → K(E) is a nonexpansive mapping satisfying the weak inwardness condition, then T has a fixed point (see [26]).”
Fixed point theorems for weakly contractive multivalued maps (2003, methodology): “H includes results of Deimling [7], Xu [15], Martinez-Yanez [10], and Yi and Zhao [14] prove the result, Lim used transfinite induction argument instead of Caristi’s theore In [9], the author says that he had attempted unsuccessfully to use Caristi’s theorem One of generalizations of contractions on”