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Fixed point theorems in a new type of modular metric spacesTurkoglu, DuranManav, NesrinFatou propertyFixed pointGeneralized metric spacesModular metric spacesQuasi-contractionIn this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces. © 2018, The Author(s).Springer International Publishing2018Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/14169https://doi.org/10.1186/s13663-018-0650-31687-1820enFixed Point Theory and Applicationsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14169