Fixed Point Theorems Analysis
Fixed Point Theorems Analysis is a research topic within Geometry and Topology. Science Explorer counts 18k research works in it since 1950. 16.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores fixed point theorems in metric spaces, focusing on contractive mappings, partial ordering, generalized contractions, best proximity points, cone metric spaces, multi-valued mappings, fuzzy metric spaces, and their applications to ordinary differential equations.
- Fixed Point Theorems
- Metric Spaces
- Contractive Mappings
- Partial Ordering
- Generalized Contractions
- Best Proximity Points
- Cone Metric Spaces
- Multi-valued Mappings
- Fuzzy Metric Spaces
- Ordinary Differential Equations
- Research works
- 18k fractional, since 1950
- In the world top 10%
- 2.9k per year above
- Top-10% rate
- 16.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +5% the tick is no change
Which countries lead Fixed Point Theorems Analysis research?
By volume, India and Saudi Arabia publish the most (746 and 239 works in 2022–2025).
By volume, 2022–2025
- 1 India 746 works
- 2 Saudi Arabia 239 works
- 3 Türkiye 219 works
- 4 China 214 works
- 5 Pakistan 136 works
- 6 Iran 101 works
- 7 Iraq 96 works
- 8 Romania 75 works
- 9 South Africa 73 works
- 10 United States 72 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Fixed Point Theorems Analysis research?
By volume in 2022–2025, King Abdulaziz University publishes the most Fixed Point Theorems Analysis research, followed by Prince Sultan University and Osmania University.
By volume, 2022–2025
- 1 King Abdulaziz UniversitySaudi Arabia 49 works
- 2 Prince Sultan UniversitySaudi Arabia 36 works
- 3 Osmania UniversityIndia 29 works
- 4 Aligarh Muslim UniversityIndia 28 works
- 5 University of BelgradeSerbia 27 works
- 6 Technion – Israel Institute of TechnologyIsrael 27 works
- 7 China Medical UniversityTaiwan 27 works
- 8 University of JeddahSaudi Arabia 27 works
- 9 International Islamic University, IslamabadPakistan 26 works
- 10 Université Sultan Moulay SlimaneMorocco 24 works
Who are the leading researchers in Fixed Point Theorems Analysis?
The most-cited researchers publishing on Fixed Point Theorems Analysis include Dumitru Bǎleanu, Ahmed Alsaedi and Ravi P. Agarwal.
- 1 Dumitru Bǎleanu Türkiye 2.2k citations
- 2 Ahmed Alsaedi Saudi Arabia 1.8k citations
- 3 Ravi P. Agarwal Ireland 1.1k citations
- 4 Jonathan M. Borwein Canada 1.1k citations
- 5 Shiing-Shen Chern United States 1.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Fixed Point Theorems Analysis research done?
The largest centres of Fixed Point Theorems Analysis research in 2022–2025 are Jeddah (Saudi Arabia), Riyadh (Saudi Arabia), Islamabad (Pakistan) and Taichung (Taiwan). Among places with at least 20 works in it, it is an unusually large share of all research in Lahore and Beni Mellal.
Largest cities, 2022–2025
Where it is the local speciality
- LahorePK · 22.2 works80×
- Beni MellalMA · 24.2 works60×
Location quotient: how much more of its research is in Fixed Point Theorems Analysis than the world average.
Where is the best place to study Fixed Point Theorems Analysis?
Among universities, judged by research, Prince Sultan University, Transylvania University of Brașov and China Medical University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Prince Sultan UniversitySaudi Arabia | 80.4 | 28.2% | 111.1× | 36 | +549.6% |
| 2 | Transylvania University of BrașovRomania | 71.3 | 60.7% | 22.1× | 9 | +170.4% |
| 3 | China Medical UniversityTaiwan | 64.9 | 27.4% | 66.8× | 27 | — |
| 4 | International Islamic University, IslamabadPakistan | 64.5 | 15.6% | 76.8× | 26 | +190.6% |
| 5 | King Abdulaziz UniversitySaudi Arabia | 64.0 | 22.2% | 30.8× | 49 | -25.5% |
| 6 | University of BelgradeSerbia | 63.7 | 42.6% | 15.7× | 28 | -48.1% |
| 7 | Government College University, LahorePakistan | 62.1 | 36.6% | 59.8× | 16 | — |
| 8 | University of Management and TechnologyPakistan | 61.8 | 27.2% | 79.6× | 22 | — |
| 9 | University of TabukSaudi Arabia | 60.3 | 30.3% | 54.3× | 22 | -28.9% |
| 10 | Guru Ghasidas VishwavidyalayaIndia | 59.0 | 28.6% | 58.9× | 11 | +272.7% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Fixed Point Theorems Analysis research growing?
Output in 2018–2022 was 5% higher than in 2013–2017, peaking in 2021. The fastest-growing topics are Fixed Point Theorems Analysis.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.