In this paper, an iterative scheme for finding common solutions of the set fixed points a pair asymptotically quasi-nonexpansive mapping and minimizers minimization problem is constructed. Using idea jointly demicloseness principle, strong convergence results are achieved without imposing any compactness condition on space or operator. Our improve, extend generalize many important in literature.

F(T) ̸ = 0. As an important generalization of nonexpansive mappings, the class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [1] in 1972, who proved that if K is a nonempty, closed, and convex subset of a real uniformly convex Banach space and T : K → K is an asymptotically nonexpansive mapping, then T has a fixed point. Since then, iterative techniques for approximat...

In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.