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C*-algebra valued quasi metric spaces and fixed point results with an application

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C*-algebra valued quasi metric spaces and fixed point results with an application

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dc.contributor.author Asim, Mohammad es_ES
dc.contributor.author Kumar, Santosh es_ES
dc.contributor.author Imdad, Mohammad es_ES
dc.contributor.author George, Reny es_ES
dc.date.accessioned 2022-10-06T07:49:35Z
dc.date.available 2022-10-06T07:49:35Z
dc.date.issued 2022-10-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/187122
dc.description.abstract [EN] In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject C*-algebra es_ES
dc.subject C-algebra valued quasi metric spaces es_ES
dc.subject Fixed point es_ES
dc.subject Integral equations es_ES
dc.title C*-algebra valued quasi metric spaces and fixed point results with an application es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.16783
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Asim, M.; Kumar, S.; Imdad, M.; George, R. (2022). C*-algebra valued quasi metric spaces and fixed point results with an application. Applied General Topology. 23(2):287-301. https://doi.org/10.4995/agt.2022.16783 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.16783 es_ES
dc.description.upvformatpinicio 287 es_ES
dc.description.upvformatpfin 301 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\16783 es_ES
dc.description.references A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. 2012, Article ID 204. https://doi.org/10.1186/1687-1812-2012-204 es_ES
dc.description.references M. Asim and M. Imdad, C*-algebra valued extended b-metric spaces and fixed point results with an application, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 82, no. 1 (2020), 207-218. es_ES
dc.description.references M. Asim and M. Imdad, C*-algebra valued symmetric spaces and fixed point results with an application, Korean J. Math. 28, no. 1 (2020), 17-30. es_ES
dc.description.references M. Asim, M. Imdad and S. Radenovic, Fixed point results in extended rectangular b-metric spaces with an application, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 81, no. 2 (2019), 43-50. es_ES
dc.description.references M. Asim, A. R. Khan and M. Imdad, Rectangular $M_{b}$-metric spaces and fixed point results, Journal of Mathematical Analysis 10, no. 1 (2019), 10-18. https://doi.org/10.1186/s13660-019-2223-3 es_ES
dc.description.references M. Asim, A. R. Khan and M. Imdad, Fixed point results in partial symmetric spaces with an application, Axioms 8, no. 1 (2019): 13. https://doi.org/10.3390/axioms8010013 es_ES
dc.description.references I. A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., Gos. Ped. Inst. Unianowsk 30 (1989), 26-37. es_ES
dc.description.references S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181 es_ES
dc.description.references A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. 57 (2000), 31-37. es_ES
dc.description.references S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1, no. 1 (1993), 5-11. es_ES
dc.description.references H. Long-Guang and Z. Xian, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468-1476. https://doi.org/10.1016/j.jmaa.2005.03.087 es_ES
dc.description.references Z. H. Ma, L. N. Jiang and H. K. Sun, C*-algebra valued metric spaces and related fixed point theorems, Fixed Point Theory Appl. 2014, Article ID 206. es_ES
dc.description.references Z. H. Ma and L. N. Jiang, C*-algebra valued b-metric spaces and related fixed point theorems, Fixed Point Theory Appl. 2015, Article ID 222. https://doi.org/10.1186/s13663-015-0471-6 es_ES
dc.description.references S. G. Matthews, Partial metric topology, Annals of the New York Academy of Sciences 728 (1994), 183-197. https://doi.org/10.1111/j.1749-6632.1994.tb44144.x es_ES
dc.description.references S. Shukla, Partial b-metric spaces and fixed point theorems, Mediterranean Journal of Mathematics 11, no. 2 (2014), 703-711. https://doi.org/10.1007/s00009-013-0327-4 es_ES
dc.description.references W. A. Wilson, On quasi-metric spaces, American Journal of Mathematics 53, no. 3 (1931), 675-684. https://doi.org/10.2307/2371174 es_ES


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