K. Goebel

1.3k citations
10 papers · 995 · 1 hit paper · h-index 9

Impact in

Papers in

K. Goebel

10 papers receiving 810 citations

K. Goebel's Hit Papers

A fixed point theorem for asymptotically nonexpansive mappings 1972 · 648 citations
6480+18+36Years since publication200400600

Peers

K. Goebel
Comparison fields: 5 of 35
  • Geometry and Topology 871
  • Numerical Analysis 491
  • Computational Theory and Mathematics 898
  • Applied Mathematics 258
  • Mathematical Physics 135
Replace W. G. Dotson with:
W. G. Dotson United States
Teck-Cheong Lim United States
Naoki Shioji Japan
Satit Saejung Thailand
Enrique Llorens-Fuster Spain
Rainer Wittmann Germany
Jean-Noël Corvellec France
Y. J. Cho South Korea
Habtu Zegeye Botswana
V. M. Sehgal United States
K. Goebel relative to W. G. Dotson United States W. G. Dotson's profile →
Citations per field
00.5×1.5×1.9×
W. G. Dotson · 1×
Citations per year

Countries citing papers authored by K. Goebel

Since Specialization
Citations

This map shows the geographic impact of K. Goebel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by K. Goebel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites K. Goebel more than expected).

Fields of papers citing papers by K. Goebel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by K. Goebel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by K. Goebel. The network helps show where K. Goebel may publish in the future.

Co-authors

The 4 scholars most cited alongside K. Goebel, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with K. Goebel Line = papers co-authored together K. Goebel links everyone, so they are left out of the graph.

All Works

10 of 10 papers shown
#Work
1
A fixed point theorem for asymptotically nonexpansive mappings
Hit paper breakdown →
1972648
2 197388
3 198073
4
Convexity of balls and fixed-point theorems for mappings with nonexpansive square
197047
5 197433
6 196929
7 197928
8 197126
9 198221
10
a note on minimal displacement and optimal retraction problems
20062

About K. Goebel

K. Goebel is a scholar working on Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics, Numerical Analysis and Applied Mathematics, having authored 10 papers that have together received 995 indexed citations. Recurring topics across this work include Optimization and Variational Analysis (7 papers), Fixed Point Theorems Analysis (7 papers), Advanced Optimization Algorithms Research (3 papers), Nonlinear Differential Equations Analysis (2 papers), Analytic and geometric function theory (2 papers), Mathematical and Theoretical Analysis (2 papers), Structural Analysis and Optimization (1 paper) and Numerical methods in inverse problems (1 paper). The work is most often cited by research in Geometry and Topology (871 citations), Numerical Analysis (491 citations), Computational Theory and Mathematics (898 citations), Applied Mathematics (258 citations) and Mathematical Physics (135 citations). K. Goebel has collaborated with scholars based in United States and Poland. Frequent co-authors include W. A. Kirk, Tadeusz Kuczumow, Eligiusz J. Złotkiewicz and Giuseppe Marino. Their work appears in journals such as Nonlinear Analysis, The Michigan Mathematical Journal, Proceedings of the American Mathematical Society, Compositio Mathematica and Studia Mathematica.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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