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Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in c0 and ℓ1

  • Parveen Kumar
  • Ankit Kumar
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Abstract

We propose a new class of cyclic (noncyclic) operator type condensing mappings and establish conditions that guarantee the existence of best proximity points (pairs) using measure of noncompactness. The results obtained are further applied to investigate the optimum solution of an infinite system of differential equations in c0 and ℓ1.

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Cite

BibTeXRIS
BibTeX
@misc{kumar2026best,
  title = {{Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in $c_0$ and $\ell_1$}},
  author = {Parveen Kumar and Ankit Kumar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13878},
  eprint = {2610.13878},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13878},
}
RIS
TY  - UNPB
TI  - Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in c_0 and ℓ_1
AU  - Parveen Kumar
AU  - Ankit Kumar
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13878
UR  - https://arxiv.org/abs/2610.13878
AB  - We propose a new class of cyclic (noncyclic) operator type condensing mappings and establish conditions that guarantee the existence of best proximity points (pairs) using measure of noncompactness. The results obtained are further applied to investigate the optimum solution of an infinite system of differential equations in c_0 and ℓ_1.
ER  -