In this paper, we consider the strong convergence of the projection type Ishikawa iteration process to a common fixed point of a finite family of I-asymptotically nonexpansive mappings in generalized convex metric spaces. Our results of this paper improve and extend the corresponding results of Temir[4], Thianwan [6].

Let C be a bounded closed convex subset of a uniformly convex Banach space X and let = = {T (t) : t ∈ G} be a commutative semigroup of asymptotically nonexpansive in the intermediate mapping from C into itself. In this paper, we provide the strong mean ergodic convergence theorem for the almost-orbit of =.

Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in  the unit ball of  the Hilbert space. ...

The purpose of this paper is to study the convergence problem of Mann and Ishikawa type iterative schemes of weakly contractive mapping in a complete convex metric space. We establish the results on invariant approximation for the mapping defined on a class of nonconvex sets in a convex metric space. Finally, we obtain the existence of common fixed points of two asymptotically nonexpansive mapp...

Abstract In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate common element of set solutions convex minimization problems and fixed points two nearly asymptotically quasi-nonexpansive mappings in framework $\operatorname{CAT}(0)$ CAT ( <mml:m...