W. A. Kirk

Geometry and Topology · 2000–2014

A researcher in the Science corpus: 18 papers; trusts 5 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 12 citations into it; #587 of 7,422 by trust here, #257 by citations
• Mathematical Physics — 6 citations into it; #8,007 of 8,562 by trust here, #3,664 by citations
• Computational Theory and Mathematics — 5 citations into it; #1,884 of 12,182 by trust here, #1,083 by citations

Whom W. A. Kirk trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Rafa Esṕınola
2. Misha Gromov
3. Sompong Dhompongsa
4. M. Bestvina
5. Lotfi A. Zadeh
6. Marlène Frigon
7. Brailey Sims
8. Mohamed Amine Khamsi

Who trusts W. A. Kirk overall

1. Binayak S. Choudhury
2. Mohamed Amine Khamsi
3. Naseer Shahzad
4. Tomonari Suzuki
5. Nawab Hussain
6. Bancha Nanjaras
7. Miroslav Bacák
8. Bancha Panyanak
9. E. Petrov
10. Krishnapada Das

Papers from W. A. Kirk's perspective

Ordered by how strongly the researchers W. A. Kirk trusts endorse each paper. Same corpus, a different order for every researcher.

1. Metric Structures for Riemannian and Non-Riemannian Spaces
2. Fixed point theorems in R-trees with applications to graph theory
3. On characterizations of Meir-Keeler contractive maps
4. The Knaster-Kuratowski and Mazurkiewicz theroy in hyperconvex metric spaces and some of its applications
5. Geometric Measure Theory
6. Expander Graphs and their Applications
7. Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry
8. Isoperimetry of Waists and Concentration of Maps
9. Lectures on coarse geometry
10. Piecewise automatic groups

Their papers

• Fixed point and selection theorems in hyperconvex spaces (2000) — 47 citations
• A concept of convergence in geodesic spaces (2008) — 524 citations
• Fixed point theorems in R-trees with applications to graph theory (2006) — 156 citations
• Proximal normal structure and relatively nonexpansive mappings (2005) — 267 citations
• Fixed points of uniformly lipschitzian mappings (2006) — 333 citations
• Asymptotic pointwise contractions (2008) — 131 citations
• The Knaster-Kuratowski and Mazurkiewicz theroy in hyperconvex metric spaces and some of its applications (2000) — 67 citations
• Fixed Point Theory in Distance Spaces (2014) — 420 citations
• Some fixed point results in ultrametric spaces (2012) — 56 citations
• Metric Fixed Point Theory (2011) — 62 citations
• FIXED POINT THEOREMS IN CAT(0) SPACES AND R-TREES (2009) — 175 citations
• FIXED POINTS FOR MAPPINGS SATISFYING CYCLICAL CONTRACTIVE CONDITIONS (2008) — 595 citations
• Some recent results in metric fixed point theory (2007) — 66 citations
• Fixed point theorems in spaces and -trees (2004) — 87 citations
• Fixed points of asymptotic contractions (2003) — 185 citations
• Contraction Mappings and Extensions (2001) — 123 citations
• Handbook of metric fixed point theory (2001) — 505 citations
• An Introduction to Metric Spaces and Fixed Point Theory (2001) — 723 citations