Convergence theorems of three-step iterative scheme for a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces.
Convergences preserving the fixed point property
Convexity of the set of fixed points generated by some control systems.
Correction to my paper "Topological contraction principle" (Fundamenta Mathematicae 110 (1980), pp. 135-144)
Countable extension of triangular norms and their applications to the fixed point theory in probabilistic metric spaces
Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with -distance.
Coupled coincidence point theorems for nonlinear contractions in partially ordered quasi-metric spaces with a -function.
Coupled fixed point, -invariant set and fixed point of -order.
Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces.
Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces
In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.
Coupled fixed point theorems of integral type mappings in cone metric spaces
Cyclic Type Fixed Point Results in 2-Menger Spaces
In this paper we introduce generalized cyclic contractions through number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type -norm. In another theorem we use a control function with minimum -norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.
Cylinders over λ-dendroids have the fixed point property
It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].