Pant, Rajendra; Shukla, Rahul(Universitat Politècnica de València, 2022-10-03)
[EN] We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for ...
Radhakrishnan, Mohanasundaram; Rajesh, S.; Agrawal, Sushama(Universitat Politècnica de València, 2017-10-02)
[EN] In this paper, we prove that ifKis a nonempty weakly compact setin a Banach spaceX,T:K→Kis a nonexpansive map satisfyingx+Tx2∈Kfor allx∈Kand ifXis3−uniformly convex orXhas theOpial property, thenThas a fixed point in K