On the fixed points of affine nonexpansive mappings.

Duru, Hülya

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Displaying similar documents to “On the fixed points of affine nonexpansive mappings.”

A counterexample to the article “On the fixed points of affine nonexpansive mappings”.

Saeidi, Shahram (2006)

International Journal of Mathematics and Mathematical Sciences

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The super fixed point property for asymptotically nonexpansive mappings

Andrzej Wiśnicki (2012)

Fundamenta Mathematicae

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We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.

A note on Picard iterates of nonexpansive mappings

Eun Suk Kim, W. A. Kirk (2001)

Annales Polonici Mathematici

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Let X be a Banach space, C a closed subset of X, and T:C → C a nonexpansive mapping. It has recently been shown that if X is reflexive and locally uniformly convex and if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). In this paper it is shown that if T is assumed to be asymptotically regular, this condition can be weakened much further. Finally, some observations are made about the geometric conditions...

Nonexpansive mappings defined on unbounded domains.

Kaewcharoen, A., Kirk, W.A. (2006)

Fixed Point Theory and Applications [electronic only]

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Fixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces.

Vijayaraju, P. (1995)

International Journal of Mathematics and Mathematical Sciences

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Fixed point theorems for a sum of two mappings in locally convex spaces.

Vijayaraju, P. (1994)

International Journal of Mathematics and Mathematical Sciences

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Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces

Daya Ram Sahu (2005)

Commentationes Mathematicae Universitatis Carolinae

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We introduce the classes of nearly contraction mappings and nearly asymptotically nonexpansive mappings. The class of nearly contraction mappings includes the class of contraction mappings, but the class of nearly asymptotically nonexpansive mappings contains the class of asymptotically nonexpansive mappings and is contained in the class of mappings of asymptotically nonexpansive type. We study the existence of fixed points and the structure of fixed point sets of mappings of these classes...

Irregular convex sets with fixed-point property for nonexpansive mappings

K. Goebel, T. Kuczumow (1979)

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Ergodic retractions for families of asymptotically nonexpansive mappings.

Saeidi, Shahram (2010)

Fixed Point Theory and Applications [electronic only]

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Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets.

Kaczor, Wiesława (2003)

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Approximating fixed points of nonexpansive mappings.

Liu, Guimei, Lei, Deng, Li, Shenghong (2000)

International Journal of Mathematics and Mathematical Sciences

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