Khamsi, Mohamed A. Uniform noncompact convexity, fixed point property in modular spaces. (English) Zbl 0820.47063 Math. Jap. 40, No. 3, 439-450 (1994). Summary: We define the so-called modulus of noncompact convexity in modular spaces. We extend the results obtained in Banach spaces by Goebel and Sekowski although their methods can not be reproduced. Cited in 1 Document MSC: 47H10 Fixed-point theorems 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46A80 Modular spaces 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:modulus of noncompact convexity in modular spaces × Cite Format Result Cite Review PDF