On supertightness and function spaces
On symmetric products
On -stability of Picard iteration in cone metric spaces.
On the additivity of the fixed point property for 1-dimensional continua
On the behaviour of continuous real functions in the neighbourhood of a fixed point.
On the common fixed point for commuting Lipschitz functions
On the convergence of certain sequences and some applications, II.
On the convergence of implicit Ishikawa iterations with errors to a common fixed point of two mappings in convex metric spaces.
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Let be a convex subset of a complete convex metric space , and and be two selfmappings on . In this paper it is shown that if the sequence of Ishikawa iterations associated with and converges, then its limit point is the common fixed point of and . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].
On the convergence of the Ishikawa iteration in the class of quasi contractive operators.
On the Converse of Caristi's Fixed Point Theorem
Let X be a nonempty set of cardinality at most and T be a selfmap of X. Our main theorem says that if each periodic point of T is a fixed point under T, and T has a fixed point, then there exist a metric d on X and a lower semicontinuous map ϕ :X→ ℝ ₊ such that d(x,Tx) ≤ ϕ(x) - ϕ(Tx) for all x∈ X, and (X,d) is separable. Assuming CH (the Continuum Hypothesis), we deduce that (X,d) is compact.
On the equivalence of certain coincidence theorems and fixed point theorems
On the existence and uniqueness of the solution of a non-linear functional equation of r-th order
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
On the fixed points in an -limit set
Let and be closed subsets of [0,1] with a subset of the limit points of . Necessary and sufficient conditions are found for the existence of a continuous function such that is an -limit set for and is the set of fixed points of in .
On the hyperspaces of snake-like and circle-like continua
On the Index of Approximating Sets of Periodic Points.
On the iterative process
On the iterative test for j-contractive mappings in uniform spaces
Edelstein iterative test for j-contractive mappings in uniform spaces is established.
On the Lefschetz fixed point theorem