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

Nadler Theorem on Generalized Metric Spaces with Weighted Graphs

  • Ismat Beg
  • Muhammad Aslam Javed
Open at sourcePDFDOICite

Abstract

We introduce a generalized metric space endowed with a weighted graph and establish sufficient conditions for the existence of fixed points for set-valued mappings that satisfy a contractive condition only along the links of the graph. To demonstrate the applicability and significance of our results, several illustrative examples are presented. As an application, we establish the solvability of a class of integral problems involving set-valued data.

Related

  1. Generalized Stević–Sharma operators on weighted Dirichlet spaces
    Guo Zhitao
    Demonstratio MathematicaPeer-reviewedCC BYFull textGeneral mathematicsDOAJ
  2. Norm of the generalized Hilbert operator on weighted Bergman spaces
    Dongxing Li, Songxiao Li, Weiye Pan +2
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  3. The Critical Value for the Beurling-Type Theorem in Weighted Bergman Spaces
    Zhaopeng Lin, Shibo Xu, Tao Yu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Presenting Point-Glued Self-Similar Objects as Final Coalgebras in Metric Spaces via Completion: A Categorical Hutchinson Theorem
    Jayampathy Ratnayake, Annanthakrishna Manokaran
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  5. Weighted Power Fréchet Means in Metric Spaces with Curvature Bounded Above
    Christof Schötz
    arXivPreprintCC BY 4.0Full textProbabilityStatisticsarXiv

Cite

BibTeXRIS
BibTeX
@misc{beg2026nadler,
  title = {{Nadler Theorem on Generalized Metric Spaces with Weighted Graphs}},
  author = {Ismat Beg and Muhammad Aslam Javed},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32240},
  eprint = {2610.32240},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32240},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nadler Theorem on Generalized Metric Spaces with Weighted Graphs
AU  - Ismat Beg
AU  - Muhammad Aslam Javed
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32240
UR  - https://arxiv.org/abs/2610.32240
AB  - We introduce a generalized metric space endowed with a weighted graph and establish sufficient conditions for the existence of fixed points for set-valued mappings that satisfy a contractive condition only along the links of the graph. To demonstrate the applicability and significance of our results, several illustrative examples are presented. As an application, we establish the solvability of a class of integral problems involving set-valued data.
ER  -