Author:
Anwar Saeed, ,Nazam Muhammad,Sulami Hamed H Al,Hussain Aftab,Javed Khalil,Arshad Muhammad, ,
Abstract
<abstract><p>In this paper, we prove some results on the Hausdorff partial $ b $-metrics. We prove some new Lemmas regarding convergence of the sequences in the Hausdorff partial b-metric spaces. The obtained results generalize and improve many existing fixed-point results. The examples are given for the explanation of theory. The existence of the solution to the boundary value problem is proved via fixed-point approach.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference23 articles.
1. K. Agarwal, S. Qureshi, J. Nema, A fixed point theorem for $b$-metric space, International Journal of Pure and Applied Mathematical Sciences, 9 (2016), 45–50.
2. A. Aghajani, M. Abbas, J. R. Roshan, Common fixed point of generalized weak contractive mapping in partially ordered $b$-metric spaces, Math. Slovaca, 64 (2014), 941–960. http://dx.doi.org/10.2478/s12175-014-0250-6
3. I. Altun, O. Acar, Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces, Topol. Appl., 159 (2012), 2642–2648. http://dx.doi.org/10.1016/j.topol.2012.04.004
4. E. Ameer, H. Huang, M. Nazam, M. Arshad, Fixed point theorems for multivalued $\gamma-FG-$ contractions with $(\alpha_{*}, \beta_{*})$ admissible mappings in the partial b-metric spaces and application, U.P.B. Sci. Bull., Series A, 81 (2019), 97–108.
5. H. Aydi, M. Abbas, C. Vetro, Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces, Topol. Appl., 159 (2012), 3234–3242. http://dx.doi.org/10.1016/j.topol.2012.06.012
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