On common fixed points of linear contractions

Common fixed points of f-weak contractions in cone metric spaces

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...

Common Fixed Points, Invariant Approximation and Generalized Weak Contractions

On Common Fixed Points

Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results. 2000 Mathematics Subject Classification: 47H10, 54H25.

Results on Common Fixed Points

We establish common fixed point theorems related with families of selfmappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994). 2000 Mathematics Subject Classification. 47H10, 54H25.

Common fixed points of generalized contractions on partial metric spaces and an application

Keywords : Coincidence point Common fixed point Partial metric space Weakly compatible pair of mappings Homotopy a b s t r a c t In this paper , common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun , F. Sola and H. Simsek [ Generalized contrac...