title: Common fixed point results: New developments on commuting mappings and application in dynamic programming
metadata.name: dc.contributor.author
metadata.value: Touail, Youssef
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-11-22T17:09:44Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-11-22T17:09:44Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Touail Y. Common fixed point results: New developments on commuting mappings and application in dynamic programming. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 3, pp. 366–375. https://doi.org/10.21638/spbu10.2024.305
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu10.2024.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/47982
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Based on a class of semicontinuous functions, we prove a common fixed point theorem for
  a pair of commuting mappings. As a consequence, we give another common fixed point for
  the so-called weakly contractive mappings of type ET . The proven results are established in
  the setting of bounded metric spaces without using neither the compactness nor the uniform
  convexity. Some examples are built to demonstrate the superiority of the obtained results
  compared to the existing ones in the literature. Furthermore, an application to a system of
  functional equations arising in dynamic programming is given.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 20; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: сommon fixed point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: weakly contractive maps of type ET
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: commuting maps
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: compactness
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: uniform convexity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Common fixed point results: New developments on commuting mappings and application in dynamic programming
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_366.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/47982/1/vestnik_spbu10_2024_366.pdf
resources.format: Adobe PDF
resources.size: 238,75 kB