125983 20241125101137.0 doi 10.3390/math11092019 sideral 133588 ART-2023-133588 eng Navascués, María A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 Iterative schemes involving several mutual contractions 2023 Access copy available to the general public Unrestricted In this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more extended underlying structure. We provide sufficient conditions for two mutually Reich contractive maps in order to have a common fixed point. The result is extended to a family of operators of any cardinality. The dynamics of iterative discrete systems involving this type of self-maps is studied. In the case of normed spaces, we establish some relations between mutual Reich contractivity and classical contractivity for linear operators. Then, we introduce the new concept of mutual functional contractivity that generalizes the concept of classical Banach contraction, and perform a similar study to the Reich case. We also establish some relations between mutual functional contractions and Banach contractivity in the framework of quasinormed spaces and linear mappings. Lastly, we apply the obtained results to convolutional operators that had been defined by the first author acting on Bochner spaces of integrable Banach-valued curves. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.3 2023 MATHEMATICS 21 / 490 = 0.043 2023 Q1 T1 0.475 2023 Engineering (miscellaneous) 2023 Q2 Mathematics (miscellaneous) 2023 Q2 Computer Science (miscellaneous) 2023 Q2 4.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Jha, Sangita Chand, Arya K. B. Mohapatra, Ram N. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 11, 9 (2023), 2019 [18 pp.] Mathematics (Basel) Mathematics 2227-7390 473440 http://zaguan.unizar.es/record/125983/files/texto_completo.pdf Versión publicada 2607790 http://zaguan.unizar.es/record/125983/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:125983 articulos driver 2024-11-22-12:01:24 ARTICLE