Functional Equations in α-Hölder Class on Banach Spaces

We prove existence and uniqueness of global \alpha α -Hölder solutions for a special class of functional equations on Banach spaces. As an application of this theory, we suggest an estimate of \alpha α for the \alpha α -Hölder linearization theorem.

Authors

Institutions

Publication Details

Journal
Journal of convex analysis
Published
2026-10-30
DOI
https://doi.org/10.68381/jca34015
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Functional Equations in α-Hölder Class on Banach Spaces

Victoria Rayskin, Genrich R. Belitskii
1 links
Journal of convex analysis
Functional Equations Stability Results
article

Functional Equations in α-Hölder Class on Banach Spaces

Victoria Rayskin, Genrich R. Belitskii
article en

Abstract

We prove existence and uniqueness of global \alpha α -Hölder solutions for a special class of functional equations on Banach spaces. As an application of this theory, we suggest an estimate of \alpha α for the \alpha α -Hölder linearization theorem.

Journal of convex analysisVol. 34(1)
Ben-Gurion University of the Negev (IL), Minnesota State University, Mankato (US)
Openalex Percentile: Top 7%
Functional Equations Stability Results
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Functional Equations in α-Hölder Class on Banach Spaces — Victoria Rayskin, Genrich R. Belitskii · Journal of convex analysis (2026) | TGRS Research Map | TGRS