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Citation - WoS: 47
Citation - Scopus: 46
A Nadler-Type Fixed Point Theorem in Dislocated Spaces and Applications
(Univ Miskolc inst Math, 2018) Aydi, H.; Felhi, A.; Karapinar, Erdal; Sahmim, S.
In this paper, we introduce the concept of a Hausdorff dislocated metric. We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result.
Citation - WoS: 201
A COMMON FIXED POINT FOR WEAK φ-CONTRACTIONS ON b-METRIC SPACES
(House Book Science-casa Cartii Stiinta, 2012) Aydi, Hassen; Bota, Monica-Felicia; Karapinar, Erdal; Moradi, Sirous
In this paper, we give a common fixed point result, for single-valued and multi-valued mappings satisfying a weak phi-contraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.