We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpan-sive mappings in a Hilbertâ€¦ (More)

and Applied Analysis 3 xn â‡€ x âˆˆ X and â€–xnâ€– â†’ â€–xâ€–, then xn â†’ x. It is known that if X is uniformly convex, then X has the Kadec-Klee property. The normalized duality mapping J from X to Xâˆ— is definedâ€¦ (More)

where h > ï˜¹ is a stepsize. It is known that if f :RN â†’RN is Lipschitz continuous and sufficiently smooth, then the sequence {xn} generated by (ï›œ.ï˜º) converges to the exact solution of (ï›œ.ï›œ) as hâ†’ ï˜¹â€¦ (More)

for all x âˆˆ C, p âˆˆ F T and n â‰¥ 1. It is clear that if F T is nonempty, then the asymptotically nonexpansive mapping, the asymptotically quasi-nonexpansive mapping, and the generalizedâ€¦ (More)

We use strongly pseudocontraction to regularize the following ill-posed monotone variational inequality: finding a point xâˆ— with the property xâˆ— âˆˆ Fix T such that ã€ˆ I âˆ’ S xâˆ—, x âˆ’ xâˆ—ã€‰ â‰¥ 0, x âˆˆ Fix Tâ€¦ (More)

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposedâ€¦ (More)