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-valuedâ€¦ (More)

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, isâ€¦ (More)

The concept of weak contraction is introduced and compared to some known metrical contractive type mappings and then two fixed point theorems for this class of operators in complete metric spaces areâ€¦ (More)

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], forâ€¦ (More)

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

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 theseâ€¦ (More)

Let X be a linear space. A p-norm on X is a real-valued function on X with 0 < p â‰¤ 1, satisfying the following conditions: (i) â€–xâ€–p â‰¥ 0 and â€–xâ€–p = 0â‡” x = 0, (ii) â€–Î±xâ€–p = |Î±|pâ€–xâ€–p, (iii) â€–x+ yâ€–p â‰¤â€¦ (More)

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 severalâ€¦ (More)