Approximative Compactness and Full Rotundity in Musielak-Orlicz spaces and Lorentz-Orlicz spaces

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Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings (2011, background): “Recall that a Banach space E has the Kadec-Klee property [ 15-17 ], if for any sequence {xn} ⊂ E and x I E with xn ⇀ x and ||xn|| ® ||x||, then ||xn - x|| ® 0a sn ® ∞. It is well known that if E is a uniformly convex Banach space, then E has the Kadec-Klee property.”