5 papers
Recent developments in the fixed point theory of enriched contractive mappings. A survey
Vasile Berinde, MÄdÄlina PÄcurar
The aim of this note is threefold: first, to present a few relevant facts about the way in which the technique of enriching contractive mappings was introduced; secondly, to expose…
New averaged type algorithms for solving split common fixed-point problem for demicontractive mappings
Vasile Berinde, Khairul Saleh
In this paper we propose new averaged iterative algorithms designed for solving a split common fixed-point problem in the class of demicontractive mappings. The algorithms are obta…
Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
Vasile Berinde
We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the results obtained in the case of contraction…
On a useful lemma that relates quasi-nonexpansive and demicontractive mappings in Hilbert spaces
Vasile Berinde
We give a brief account on a basic result (Lemma \ref{lem2}) which is a very useful tool in proving various convergence theorems in the framework of the iterative approximation of…
An inertial self-adaptive algorithm for solving split feasibility problems and fixed point problems in the class of demicontractive mappings
Vasile Berinde
We propose a hybrid inertial self-adaptive algorithm for solving the split feasibility problem and fixed point problem in the class of demicontractive mappings. Our results are ver…