AbstractWe show strong convergence for Mann and Ishikawa iterates of multivalued nonexpansive mapping T under some appropriate conditions, which revises a gap in Panyanak [B. Panyanak, Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces, Comput. Math. Appl. 54 (2007) 872–877]. Furthermore, we also give an affirmative answer to Panyanak’s open question
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
AbstractLet E be a real normed linear space, K be a nonempty subset of E and T:K→E be a uniformly co...
Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several ...
We will show that the convergence of Picard iteration is equivalent to the convergence of Mann and I...
We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided tha...
The convergence of some sequences supplied by inequalities is used in order to prove the convergence...
AbstractLet E be a real Banach space. Let K be a nonempty closed and convex subset of E, T:K→K a uni...
We prove that Krasnoselskij, Mann, Ishikawa, Noor and multistep iterations are equivalent when appli...
We prove an inequality which is crucial in the proof of the main result from B.E. Rhoades and ?tefan...
Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume th...
AbstractLet E be a real Banach space and let K be a nonempty closed convex subset of E. Let {Ti}i=1N...
We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converg...
We show the equivalence bewteen the convergences of Mann and Ishikawa iterations dealing with variou...
If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a genera...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
AbstractLet E be a real normed linear space, K be a nonempty subset of E and T:K→E be a uniformly co...
Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several ...
We will show that the convergence of Picard iteration is equivalent to the convergence of Mann and I...
We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided tha...
The convergence of some sequences supplied by inequalities is used in order to prove the convergence...
AbstractLet E be a real Banach space. Let K be a nonempty closed and convex subset of E, T:K→K a uni...
We prove that Krasnoselskij, Mann, Ishikawa, Noor and multistep iterations are equivalent when appli...
We prove an inequality which is crucial in the proof of the main result from B.E. Rhoades and ?tefan...
Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume th...
AbstractLet E be a real Banach space and let K be a nonempty closed convex subset of E. Let {Ti}i=1N...
We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converg...
We show the equivalence bewteen the convergences of Mann and Ishikawa iterations dealing with variou...
If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a genera...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
AbstractLet E be a real normed linear space, K be a nonempty subset of E and T:K→E be a uniformly co...