TY - JOUR AU - Abdou, Afrah A. N. AU - Khamsi, Mohamed A. PY - 2017 TI - Fixed point theorems in modular vector spaces JO - Journal of Nonlinear Sciences and Applications SP - 4046--4057 VL - 10 IS - 8 AB - In this work, we initiate the metric fixed point theory in modular vector spaces under Nakano formulation. In particular, we establish an analogue to Banach contraction principle, Browder and G¨ohde fixed point theorems for nonexpansive mappings in the modular sense. Then we finish by proving a common fixed point result of a commutative family of nonexpansive mappings in the modular sense. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.08.01 DO - 10.22436/jnsa.010.08.01 ID - Abdou2017 ER - TY - JOUR TI - The uniform convexity and uniform smoothness of Orlicz spaces AU - V. A. Akimovič JO - (Russian) Teor. Funkciĭ Funkcional. Anal. i Priložen. 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