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Article Citation - WoS: 40Citation - Scopus: 46Some Fixed Point Results for Multi-Valued Mappings in b-metric Spaces(Springeropen, 2014) Kutbi, Marwan Amin; Karapinar, Erdal; Ahmad, Jamshaid; Azam, AkbarThe aim of this paper is to establish some fixed point theorems for set-valued mappings in the context of b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature. An example is also given to support our main result.Article Citation - Scopus: 16Some Applications of Caristi’s Fixed Point Theorem in Metric Spaces(Springer International Publishing, 2016) Khojasteh,F.; Karapinar,E.; Khandani,H.In this work, partial answers to Reich, Mizoguchi and Takahashi’s and Amini-Harandi’s conjectures are presented via a light version of Caristi’s fixed point theorem. Moreover, we introduce the idea that many of known fixed point theorems can easily be derived from the Caristi theorem. Finally, the existence of bounded solutions of a functional equation is studied. © 2016 Khojasteh et al.
