... Noncommuting maps and best approximations. Rad Mat. 10,77–83 (2001)21. Fabian, M, Habala, P, Hajek, P, Santalucia, VM, Pelant, J, Zizler, V: Functional Analysis and Infinite-dimensional Geometry.Springer, ... for every net { x a }inM and any y a Î Tx a such that x a convergesstrongly to x and y a converges weakly to y,wehavex Î M and y Î Tx.WesayXsati sfies Opial’s conditi on if for each x Î X an ... locallyconvex space. This result provides a nonmetrizable analogue of Theorem 1.2 for weakly compatible as well as R-weakly commutative pair of maps and improves mainresults of Davies [13] and Jungck...