Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces

By Naseer Shahzad, J. Markin. 2008

68 citations recorded by the source corpus.

Abstract In this paper, for a commuting pair consisting of a point-valued nonexpansive self-mapping t and a set-valued nonexpansive self-mapping T of a hyperconvex metric space (or a CAT(0) space) X , we look for a solution to the problem of existence of z ∈ E ⊂ X such that d ( z , y ) = d ( y , E ) and z = t ( z ) ∈ T ( z ) .

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/058e90da617095dd5158fd70cd12ae41541231fa

How researchers see this paper

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

In Computational Theory and Mathematics

1. Naseer Shahzad
2. Nawab Hussain
3. G. Jungck

In Geometry and Topology

1. Naseer Shahzad
2. Nawab Hussain
3. G. Jungck
4. Poom Kumam
5. Ancuţa Mihaela Petric

In Mathematical Physics

1. Naseer Shahzad

Citations in the corpus

• Fixed point results for multimaps in CAT(0) spaces (2009, background): “Since w ∈ N (T (y)) and N (T (y))∩ Fix(F ) = ∅, it follows from Lemma 4.1 of Markin [17] that PFix(F )(w) ∈ N (T (y))∩ Fix(F ) for y ∈ U (x).”