the purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. the results in this paper improve and extend the corresponding results of xu and ori, zhou and chang, sun, yang and yu in some aspects.

Recent work in the ideal theory of commutative rings and that of C*-algebra is unified and generalized by first noting that these spaces are Lawson-closed subspaces of continuous lattices, equipped with the restriction of the lower topology. These topologies were first studied by Nachbin in the late 1940’s (in [32]), as the topologies of those open sets in a compact Hausdorff space which are up...

By constructing Hopf costructures on closure spaces via homotopy, we give the concepts of cospace (CH-cospace) and cogroup (CH-cogroup). We then prove that retract deformation a CH-cospace are also CH-cospace. construct costructure set with help quotient operator. show space same homotopy type as CH-cogroup is itself CH-cogroup. existence covariant functor between category pointed ($\mathcal{CH...