Fixed Point Results in Incomplete Metric and Dislocated Metric Spaces

Hakima Bouhadjera

doi:10.2478/awutm-2023-0011

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Fixed Point Results in Incomplete Metric and Dislocated Metric Spaces

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 59 (2023): Issue 1 (June 2023)

By: Hakima Bouhadjera

Open Access

|Sep 2023

Abstract

This paper deals with the existence and uniqueness of common fixed points in metric and dislocated metric spaces. In addition, an application and some illustrative examples are given in order to justify the validity and credibility of our results, also, their superiority over some similar theorems existing in unique common fixed points theory’s domain.

References

M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181–188.
Search in Google Scholar Back to article
M.A. Al-Thagafi, N. Shahzad, Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sin. (Engl. Ser.) 14, no. 5 (2008), 867–876. DOI: 10.1007/s10114-007-5598-x
Search in Google Scholar Back to article
H. Bouhadjera, Fixed points for occasionally weakly biased mappings of type (A), Math. Morav. 26, no. 1 (2022), 113–122. DOI: 10.5937/MatMor220113B
Search in Google Scholar Back to article
G. Jungck, Common fixed points for noncontinuous nonself maps on nonmetric spaces, Far East J. Math. Sci. 4, no. 2 (1996), 199–215.
Search in Google Scholar Back to article
G. Jungck, H.K. Pathak, Fixed points via biased maps, Proc. Am. Math. Soc. 123, no. 7 (1995), 2049–2060. DOI: 10.1090/S0002-9939-1995-1283555-5
Search in Google Scholar Back to article
Y. Mahendra Singh, L. Shambhu Singh, M.R. Singh, Fixed points of occasionally weakly biased mappings under contractive conditions, Int. J. Math. Anal. 6, no. 27 (2012), 1313–1322.
Search in Google Scholar Back to article
S.G. Matthews, Metric domains for completeness, Technical report 76, Department of Computer Science, University of Warwick, UK, April 86. Ph.D. Thesis, 1985.
Search in Google Scholar Back to article
S.G. Matthews, Partial metric spaces, Research Report, Department of Computer Science, University of Warwick, UK (unpublished) CS-RR-212, 1992.
Search in Google Scholar Back to article
H.K. Pathak, Y.J. Cho, S.M. Kang, Common fixed points of biased maps of type (A) and applications, Int. J. Math. Math. Sci. 21, no. 4 (1995), 681–694. DOI: 10.1155/S0161171298000945
Search in Google Scholar Back to article