K. Goebel

1.3k total citations · 1 hit paper
10 papers, 950 citations indexed

About

K. Goebel is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, K. Goebel has authored 10 papers receiving a total of 950 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Computational Theory and Mathematics, 8 papers in Geometry and Topology and 4 papers in Mathematical Physics. Recurrent topics in K. Goebel's work include Optimization and Variational Analysis (7 papers), Fixed Point Theorems Analysis (7 papers) and Advanced Optimization Algorithms Research (3 papers). K. Goebel is often cited by papers focused on Optimization and Variational Analysis (7 papers), Fixed Point Theorems Analysis (7 papers) and Advanced Optimization Algorithms Research (3 papers). K. Goebel collaborates with scholars based in United States and Poland. K. Goebel's co-authors include W. A. Kirk, Eligiusz J. Złotkiewicz, Tadeusz Kuczumow and Giuseppe Marino and has published in prestigious journals such as Nonlinear Analysis, Proceedings of the American Mathematical Society and Canadian Journal of Mathematics.

In The Last Decade

K. Goebel

10 papers receiving 771 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A fixed point theorem for asymptotically nonexpansive mappings

1972 637 citations K. Goebel, W. A. Kirk Proceedings of the American Mathematical Society profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
K. Goebel United States	9	857	834	467	251	130	10	950
W. G. Dotson United States	10	746 0.9×	677 0.8×	490 1.0×	145 0.6×	86 0.7×	19	816
Teck-Cheong Lim United States	11	521 0.6×	569 0.7×	225 0.5×	216 0.9×	72 0.6×	21	666
Naoki Shioji Japan	14	773 0.9×	498 0.6×	374 0.8×	372 1.5×	143 1.1×	44	898
Jong Soo Jung South Korea	16	730 0.9×	688 0.8×	483 1.0×	107 0.4×	56 0.4×	65	848
D. Azé France	11	418 0.5×	192 0.2×	208 0.4×	136 0.5×	138 1.1×	28	514
Habtu Zegeye Botswana	23	1.6k 1.9×	1.3k 1.5×	1.1k 2.3×	203 0.8×	157 1.2×	124	1.7k
Rainer Wittmann Germany	8	456 0.5×	371 0.4×	359 0.8×	74 0.3×	116 0.9×	30	585
Yongfu Su China	18	1.0k 1.2×	972 1.2×	835 1.8×	68 0.3×	42 0.3×	109	1.2k
Somyot Plubtieng Thailand	14	641 0.7×	567 0.7×	522 1.1×	59 0.2×	18 0.1×	85	735
Satit Saejung Thailand	16	1.1k 1.3×	755 0.9×	729 1.6×	185 0.7×	232 1.8×	90	1.3k

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-authorship network of co-authors of K. Goebel

This figure shows the co-authorship network connecting the top 25 collaborators of K. Goebel. A scholar is included among the top collaborators of K. Goebel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with K. Goebel. K. Goebel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

10 of 10 papers shown

1.

Marino, Giuseppe & K. Goebel. (2006). a note on minimal displacement and optimal retraction problems. 95–107. 2 indexed citations

2.

Goebel, K.. (1982). Fixed points and invariant domains of holomorphic mappings of the Hilbert ball. Nonlinear Analysis. 6(12). 1327–1334. 20 indexed citations

3.

Goebel, K., et al.. (1980). Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball. Nonlinear Analysis. 4(5). 1011–1021. 66 indexed citations

4.

Goebel, K. & Tadeusz Kuczumow. (1979). Irregular convex sets with fixed-point property for nonexpansive mappings. Colloquium Mathematicum. 40(2). 259–264. 24 indexed citations

5.

Goebel, K., et al.. (1974). Uniformly Lipschitzian Families of Transformations in Banach Spaces. Canadian Journal of Mathematics. 26(5). 1245–1256. 26 indexed citations

6.

Goebel, K. & W. A. Kirk. (1973). A fixed point theorem for transformations whose iterates have uniform Lipschitz constant. Studia Mathematica. 47(2). 134–140. 81 indexed citations

7.

Goebel, K. & W. A. Kirk. (1972). A fixed point theorem for asymptotically nonexpansive mappings. Proceedings of the American Mathematical Society. 35(1). 171–174. 637 indexed citations breakdown →

8.

Goebel, K. & Eligiusz J. Złotkiewicz. (1971). Some fixed point theorems in Banach spaces. Colloquium Mathematicum. 23(1). 103–106. 26 indexed citations

9.

Goebel, K.. (1970). Convexity of balls and fixed-point theorems for mappings with nonexpansive square. Compositio Mathematica. 22(3). 269–274. 45 indexed citations

10.

Goebel, K.. (1969). An elementary proof of the fixed-point theorem of Browder and Kirk.. The Michigan Mathematical Journal. 16(4). 23 indexed citations

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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