Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Z. Opial · Bulletin of the American Mathematical Society · 1967 · 2.3K citations · Full text

Natural Sciences, Mathematics, Topology +10

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Haïm Brézis, Élliott H. Lieb · Proceedings of the American Mathematical Society · 1983 · 1.2K citations

Natural Sciences, Materials Science, Functional Decline +8

Iterative construction of fixed points of asymptotically nonexpansive mappings

Jürgen Schu · Journal of Mathematical Analysis and Applications · 1991 · 395 citations

Natural Sciences, Mathematics, Dynamical Systems +11

Some geometric properties related to the fixed point theory for nonexpansive mappings

Jean–Pierre Gossez, E. Lami Dozo · Pacific Journal of Mathematics · 1972 · 259 citations · Full text

Natural Sciences, Mathematics, Discrete Mathematics +9

Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type

W. A. Kirk · Israel Journal of Mathematics · 1974 · 169 citations

Natural Sciences, Mathematics, Dynamical Systems +8