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- Vasile Berinde, Madalina Pacurar
- Ninth International Symposium on Symbolic and…
- 2007

In this paper we present a very general class of weakly Picard mappings. The fixed point theorems thus obtained are generalizations of the well-known contraction mapping principle for single-valued mappings and of several of its subsequent generalizations, as well as of the well-known Nadler's fixed point theorem for multi-valued mappings and of many of its… (More)

- Vasile Berinde
- 2004

A convergence theorem of Rhoades [18] regarding the approximation of fixed points of some quasi contractive operators in uniformly convex Banach spaces using the Ishikawa iterative procedure, is extended to arbitrary Banach spaces. The conditions on the parameters {αn} that define the Ishikawa iteration are also weakened.

- Marin Borcut, Vasile Berinde
- Applied Mathematics and Computation
- 2012

Let X be a linear space. A p-norm on X is a real-valued function on X with 0 < p ≤ 1, satisfying the following conditions: (i) ‖x‖p ≥ 0 and ‖x‖p = 0⇔ x = 0, (ii) ‖αx‖p = |α|p‖x‖p, (iii) ‖x+ y‖p ≤ ‖x‖p +‖y‖p for all x, y ∈ X and all scalars α. The pair (X ,‖,‖p) is called a p-normed space. It is a metric linear space with a translation invariant metric dp… (More)

- Maryam A. Alghamdi, Vasile Berinde, Naseer Shahzad
- J. Applied Mathematics
- 2013

The study of fixed points of single-valued self-mappings or multivalued self-mappings satisfying certain contraction conditions has a great majority of results inmetric fixed point theory. All these results are mainly generalizations of Banach contraction principle. The Banach contraction principle guarantees the existence and uniqueness of fixed points of… (More)

- Vasile Berinde
- 2006

The main purpose of the paper is to give error estimates for two important fixed point theorems involving quasi contractive type operators. 2000 Mathematics Subject Classification: 41A25

- Vasile Berinde
- Applied Mathematics and Computation
- 2009

- Vasile Berinde
- 2004

In the last three decades many papers have been published on the iterative approximation of fixed points for certain classes of operators, using the Mann and Ishikawa iteration methods, see [4], for a recent survey. These papers were motivated by the fact that, under weaker contractive type conditions, the Picard iteration (or the method of successive… (More)

- Vasile Berinde
- 2010

In this paper we prove the existence of coincidence points and common fixed points for a large class of almost contractions in cone metric spaces. These results generalize, extend and unify several well-known recent related results in literature. AMS subject classifications: 47H10, 54H25

- Vasile Berinde
- Computers & Mathematics with Applications
- 2012