Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces

Autor:	Joy C. Umudu, Johnson O. Olaleru, Adesanmi A. Mogbademu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Fixed point Dislocated quasi-metric space Geraghty quasi-contraction type mapping Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Druh dokumentu:	article
ISSN:	1687-1812 17952506
DOI:	10.1186/s13663-020-00683-z
Popis:	Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.
Databáze:	Directory of Open Access Journals
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