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Citation - WoS: 21
Citation - Scopus: 27
Some Fixed-Point Theorems in b-Dislocated Metric Space and Applications
(Mdpi, 2018) Kumari, Panda Sumati; Alqahtani, Obaid; Karapinar, Erdal
In this article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.
Citation - WoS: 140
Citation - Scopus: 156
On Interpolative Hardy-Rogers Type Contractions
(Mdpi, 2019) Karapinar, Erdal; Alqahtani, Obaid; Aydi, Hassen
By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result.