Contractive fixed points
Contractive mappings on a premetric space.
Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations.
Contractors and fixed points
Convergence comparison of several iteration algorithms for the common fixed point problems.
Convergence of a sequence of fixed points in a uniform space
Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball.
Convergence of fixed point of asymptotically quasi-nonexpansive type mappings in convex metric space.
Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point
Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map with a fixed point and prove that these iterates converge to a fixed point of under certain conditions. This fixed point may be different from...
Convergence of Ishikawa iterates of generalized nonexpansive mappings.
Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
Convergence of the sequence of successive approximations to a fixed point.
Convergence Results for Jungck-type Iterative Processes in Convex Metric Spaces
In this paper, the convergence results of [V. Berinde; A convergence theorem for Mann iteration in the class of Zamfirescu operators, Analele Universitatii de Vest, Timisoara, Seria Matematica-Informatica 45 (1) (2007), 33–41], [V. Berinde; On the convergence of Mann iteration for a class of quasi-contractive operators, Preprint, North University of Baia Mare (2003)] and [V. Berinde; On the Convergence of the Ishikawa Iteration in the Class of Quasi-contractive Operators, Acta Math. Univ. Comenianae...
Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings.
Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings.
Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces
In this article we modify an iteration process to prove strong convergence and Δ- convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces. The results presented here extend some existing results in the literature.
Convergence theorems for fixed points of demicontinuous pseudocontractive mappings.
Convergence theorems for the unique common fixed point of a pair of asymptotically nonexpansive mappings in generalized convex metric space.
Convergence theorems for uniformly quasi-Lipschitzian mappings.