Fixed point theorems of integral type contraction in b-metric spaces
Downloads
Abstract
In this paper, we establish some new integral type contraction defined on b-metric spaces and prove some new
fixed point theorems for these mappings. Our results are generalizations of previous research’s.
Keywords:
b-Metric Spaces, integral type contraction, Fixed Point TheoremsMathematics Subject Classification:
Mathematics- Pages: 547-550
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Aydiet. al., A fixed point theorem for set valued quasicontractions in $b$-metric spaces, Fixed point theory and Applications, $88(2012)$.
Bakhtin I.A, The contraction mapping principle in quasimetric spaces, Funct. Anal. UnianowskGos. Ped. Inst. $30(1989), 26-37$
Berinde, V., Iterative Approximation of Fixed points, Springer, (2006).
Branciari A: A fixed point theorem for mappings satisfying a general contractive condition of integral type. International Journal of Mathematics and Mathematical Sciences, 29(9)(2002), 531-536.
Boriceanu, M., Fixed Point theory for multivalued generalized contraction on a set with two b-metrics, studia Univ Babes, Bolya: Math. LIV, (3)(2009), 1-14.
Dinesh.K, Krishnakumar. R, Nagaral Pandit Sanatammappa, Some new rational expressions in complete metric space, Journal of the Mharaja Sayajirao university of Baroada, 2021.
Dinesh.K, Krishnakumar. R, Nagaral Pandit Sanatammappa, Existence of fixed point theorems of contractive mappings in complete generalized metric spaces, Malaya Journal of Mathematik, 9(1)(2021).
Chatterjea, S.K. Fixed point theorems, C. R. Acad. Bulgare Sci., 25(1972), 727-730.
Chaudhary, B.S., Unique fixed point theorem for weakly c-contractive mappings, Kathmandu Univ. J. Sci, Eng. And Tech, 5(1)(2009), 6-13.
Czerwik, S., Contraction mappings in b-metric space, Acta Math. Inf. Univ. Ostraviensis, 1(1993), 5-11.
Czerwik, S., Non-linear set-valued contraction mappings in b-metric spaces. AttiSem Math Fig Univ Modena, $46(2)(1998), 263-276$.
Kannan,R., some results on fixed points, Bull.Calcutta Math.Soc., 60(1968), 71-76.
Mehmet Kir, Hiikmikiziltunc; On some well known fixed point theorems in b-metric spaces, Turkish Journal of Analysis and Number theory, 1(1)(2013), $13-16$.
Similar Articles
- Nagaral Pandit Sanatammappa, R. Krishnakumar, K. Dinesh, Some results in b-metric spaces , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
