On some generalized Ky Fan minimax inequalities.
On some maps with a nonunique fixed point.
On some properties of focal points.
On some properties of hyperconvex spaces.
On some theorems of Ćirić
On some theorems of Mishra, Ćirić and Iseki
On some weak conditions of commutativity in common fixed point theorems.
On spirals and fixed point property
We study the famous examples of G. S. Young [7] and R. H. Bing [2]. We generalize and simplify a little their constructions. First we introduce Young spirals which play a basic role in all considerations. We give a construction of a Young spiral which does not have the fixed point property (see Section 5) . Then, using Young spirals, we define two classes of uniquely arcwise connected curves, called Young spaces and Bing spaces. These classes are analogous to the examples mentioned above. The definitions...
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