GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 89
Citation - Scopus: 98
Modified f-contractions Via α-admissible Mappings and Application To Integral Equations
(Univ Nis, Fac Sci Math, 2017) Aydi, Hassen; Karapinar, Erdal; Yazidi, Habib
In this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.
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.