Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 11 min ago
PreprintCC BY 4.0arXiv

Polynomial đť’µ-contraction: A unified approach with Application

  • Md Hasanuzzaman
  • Stojan N. Radenović
Open at sourcePDFDOICite

Abstract

In this paper, we introduce polynomial đť’µ-contraction by unifying the ideas of polynomial contraction and đť’µ-contraction and also provide demonstrative examples to show the effectiveness and novelty. Chiefly, we prove two fixed point results for polynomial đť’µ-contraction employing simulation functions. Lastly, we utilize our main result to discuss the existence and uniqueness of solution for boundary value problem with a concrete example in Lp(0,Ď€) under suitable assumptions.

Related

  1. A Contraction Framework for Stochastic Operators with Bootstrapping: Application to TD Learning
    Ids van der Werf, Sergio Rozada, Antonio G. Marques
    arXivPreprintarXiv licenceFull textOptimisation & controlarXiv
  2. Local contraction of stochastic affine recursions of â„ťd
    Richard Aoun, Sara Brofferio, Marc Peigné
    HALPreprintLicence not statedGeneral mathematicsHAL
  3. Contraction-based Control of On-demand Railway Vehicles: The Urbanloop Case Study
    Weihao Wang, Jérémie Kreiss, Pietro Lorenzetti +3
    HALPreprintPublisher termsFull textOptimisation & controlHAL
  4. The measure contraction property and rectifiability
    Sean Li
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  5. On computing deformations of contraction algebras of type E
    Agata Smoktunowicz, Alicja Smoktunowicz
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{hasanuzzaman2026polynomial,
  title = {{Polynomial $\mathcalZ$-contraction: A unified approach with Application}},
  author = {Md Hasanuzzaman and Stojan N. Radenović},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10546},
  eprint = {2610.10546},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10546},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Polynomial đť’µ-contraction: A unified approach with Application
AU  - Md Hasanuzzaman
AU  - Stojan N. Radenović
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.10546
UR  - https://arxiv.org/abs/2610.10546
AB  - In this paper, we introduce polynomial đť’µ-contraction by unifying the ideas of polynomial contraction and đť’µ-contraction and also provide demonstrative examples to show the effectiveness and novelty. Chiefly, we prove two fixed point results for polynomial đť’µ-contraction employing simulation functions. Lastly, we utilize our main result to discuss the existence and uniqueness of solution for boundary value problem with a concrete example in L^p(0,Ď€) under suitable assumptions.
ER  -