Abstract The aim of this article is to present some Δ \Delta -convergence and strong convergence results for a countable family non-self mappings. More precisely, we employ Mann-Dotson’s algorithm approximate, common fixed points L n {...

In this note we study the differentiability with respect to time-parameter of semigroups consisting Lipschitzian or smooth self-mappings a domain in Banach space.

In this article, we introduce a new notion of proximal contraction, named as generalized S-proximal contraction and derive a common best proximity point theorem for proximally commuting non-self mappings, thereby yielding the common optimal approximate solution of some fixed point equations when there is no common solution. We furnish illustrative examples to highlight our results. We extend so...

 The main purpose of this paper is to study the existence of afixed point in locally convex topology generated by fuzzy n-normed spaces.We prove our main results, a fixed point theorem for a self mapping and acommon xed point theorem for a pair of weakly compatible mappings inlocally convex topology generated by fuzzy n-normed spaces. Also we givesome remarks in locally convex topology generate...

We generalize the finiteness theorem for locus of Hodge classes with fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from self-dual classes. The proof uses definability period mappings in o-minimal structure $\mathbb{R}_{\mathrm{an},\exp}$.