In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality. Furthermore, we prove the strong convergence theorems of such iterative scheme in a q-uniformly smooth Banach space which admits a weakly sequentially continuous generalized du...

We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of exi...

Abstract In this paper, we introduce an new iterative algorithm for finding an element of the set of common fixed points for a fanite familiy of multivalued k-strictly pseudo contractive mappings in q-uniformly smooth real Banach spaces. Further, we prove strong convergence theorems of the iterative sequence generated by the proposed algorithm under suitable conditions. Our results extend and i...