The strong Whitney convergence on bornology introduced by Caserta in [9] is a generalization of the uniform Beer-Levi [5]. This paper aims to study some important topological properties space all real valued continuous functions metric endowed with topologies and bornology. More precisely, we investigate metrizability, various countability properties, countable tightness, Fr?chet property these...

we prove a strong convergence result for a sequence generated by halpern's type iteration for approximating a common fixed point of a countable family of quasi-lipschitzian mappings in a real hilbert space. consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for co...