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Now showing items 1-6 of 6

#### Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions [Article]

(Elsevier, 2004-03-01)

Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets ...

#### Fixed points of nonexpansive mappings in spaces of continuous functions [Article]

(American Mathematical Society, 2005)

Let K be a compact metrizable space and C(K) the Banach space of all real continuous functions defined on K with the maximum norm. It is known that C(K) fails to have the weak fixed point property for nonexpansive mappings ...

#### Weak compactness and fixed point property for affine mappings [Article]

(Elsevier, 2004-04-01)

It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be ...

#### The Szlenk index and the fixed point property under renorming [Article]

(Springer Open, 2010)

Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R X < 2, where ...

#### Does Kirk’s theorem hold for multivalued nonexpansive mappings? [Article]

(Springer Open, 2010)

Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in Game Theory and Mathematical Economics. Thus, it is natural to try of extending the known fixed point results ...

#### Asymptotic centers and fixed points for multivalued nonexpansive mappings [Article]

(Maria Curie-Skłodowska University, 2004)

Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive mapping with convex compact values. We prove that T has a fixed point. This result improves ...