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Convergence and stability of generalizedφ-weak contraction mapping inCAT(0) spaces

100%

Kim K. S.

Open Mathematics

2017

tom 15

nr 1

1063-1074

The aim of this paper is to prove some fixed point results for generalized φ-weak contraction mapping and study a new concept of stability which is called comparably almost T-stable by using iterative schemes in CAT(0) spaces.

Then-Point Condition and Rough CAT(0)

100%

Buckley S. M., Hanson B.

Analysis and Geometry in Metric Spaces

2013

tom 1

58-68

We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits.

The Boundary at Infinity of a Rough CAT(0) Space

86%

Buckley S. M., Falk K.

Analysis and Geometry in Metric Spaces

2014

tom 2

nr 1

We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or proper

Ograniczanie wyników

2 Analysis and Geometry in Metric Spaces

1 Open Mathematics

2 Buckley S. M.

1 Falk K.

1 Hanson B.

1 Kim K. S.

1 2017

1 2014

1 2013

Wyniki wyszukiwania

Convergence and stability of generalizedφ-weak contraction mapping inCAT(0) spaces

Then-Point Condition and Rough CAT(0)

The Boundary at Infinity of a Rough CAT(0) Space