Most Recent Articles: Fixed Point Theory and Applicationshttps://fixedpointtheoryandapplications.springeropen.comMost Recent Articles: Fixed Point Theory and ApplicationsA generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaceshttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0625-9In 1980, Hegedüs and Szilágyi proved some fixed point theorem in complete metric spaces. Introducing a new contractive condition, we generalize Hegedüs-Szilágyi’s fixed point theorem. We discuss the relationsh...ResearchMon, 08 Jan 2018 00:00:00 GMThttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0625-9Tomonari Suzuki2018-01-08T00:00:00ZFixed point results for fuzzy mappings in a b-metric spacehttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0626-8In this paper, we establish some fixed point results for fuzzy mappings in a complete dislocated b-metric space. Our results generalize and extend the results of Joseph et al. (SpringerPlus 5:Article ID 217, 2016ResearchFri, 05 Jan 2018 00:00:00 GMThttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0626-8Abdullah Shoaib, Poom Kumam, Aqeel Shahzad, Supak Phiangsungnoen and Qasim Mahmood2018-01-05T00:00:00ZProbabilistic b-metric spaces and nonlinear contractionshttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0624-xThis work is for giving the probabilistic aspect to the known b-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear co...ResearchFri, 22 Dec 2017 00:00:00 GMThttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0624-xAbderrahim Mbarki and Rachid Oubrahim2017-12-22T00:00:00ZCharacterizations of contractive conditions by using convergent sequenceshttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0623-yWe give characterizations of the contractive conditions, by using convergent sequences. Since we use a unified method, we can compare the contractive conditions very easily. We also discuss the contractive con...ResearchThu, 21 Dec 2017 00:00:00 GMThttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0623-yTomonari Suzuki2017-12-21T00:00:00ZOn approximate solutions for a class of semilinear fractional-order differential equations in Banach spaceshttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0621-0We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the eq...ResearchWed, 20 Dec 2017 00:00:00 GMThttps://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-017-0621-0Mikhail Kamenskii, Valeri Obukhovskii, Garik Petrosyan and Jen-Chih Yao2017-12-20T00:00:00Z