Fixed points for $\alpha$-admissible contractive mappings via simulation functions

Felhi, Abdelbasset¹ ; Aydi, Hassen² ; Zhang, Dong³

¹ Department of Mathematics and Statistics, College of Sciences, King Faisal University, Hafouf, P. O. Box 400 Post code. 31982, Saudi Arabia
² Department of Mathematics, College of Education of Jubail, University of Dammam, P. O.: 12020, Industrial Jubail 31961, Saudi Arabia;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
³ School of Mathematical Sciences, Peking University, 100871, Beijing, China

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5544-5560.

Résumé

Based on concepts of $\alpha$-admissible mappings and simulation functions, we establish some fixed point results in the setting of metric-like spaces. We show that many known results in the literature are simple consequences of our obtained results. We also provide some concrete examples to illustrate the obtained results.

Détail

DOI : 10.22436/jnsa.009.10.05

Classification : 47H10, 54H25
Keywords: Metric-like, fixed point, simulation functions, \(\alpha\)-admissible mappings.

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