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• W4205125770 startingPage "89" @default.
• W4205125770 abstract "Modular function spaces are one of the unique conditions of modular vector spaces which were defined by Nakano [] in 1950. Later on, Khamsi, Kozlowski, and Reich [] introduced the fixed-point principle in modular function spaces in 1990. Chistyakov introduced concept of a modular metric space in 2011 []. Abdou and Khamsi introduced fixed-point theory into the modular metric spaces using different techniques from the viewpoint of Chistyakov [, ], the similar approach continues in this part as they used in []. In this chapter, the Banach Contraction Principle and Ćirić Quasi-contraction are proven in Generalized Modular Metric Spaces (briefly GMMS). The usual topology is defined on these spaces, and then, using Nadler [] and Edelstein’s results in [], two fixed-point theorems are given for a multivalued contractive-type map in the construction of modular metric spaces. They are Caristi and Feng-Liu types in GMMS with their applications as in [] and []." @default.
• W4205125770 created "2022-01-25" @default.
• W4205125770 creator A5028842391 @default.
• W4205125770 date "2021-01-01" @default.
• W4205125770 modified "2023-09-26" @default.
• W4205125770 title "Fixed-Point Theorems in Generalized Modular Metric Spaces" @default.
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• W4205125770 doi "https://doi.org/10.1007/978-981-16-4896-0_5" @default.
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