Convergence with respect to -supported ideals
Convergences preserving the fixed point property
Convergences for the group of real numbers
Convexité topologique et prolongement des fonctions continues
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)
Correction to “Structure of dynamical systems”
Correction to the paper “The Bohr compactification, modulo a metrizable subgroup” (Fund. Math. 143 (1993), 119–136)
Corrections : «Les dérivations analytiques»
Corrigendum to "On density modulo 1 of some expressions containing algebraic integers" (Acta Arith. 127 (2007), 217-229)
Corrigendum to the paper "Semigroup actions on tori and stationary measures on projective spaces" (Studia Math. 171 (2005), 33-66)
Countable dense homogeneity and λ-sets
We show that all sufficiently nice λ-sets are countable dense homogeneous (𝖢𝖣𝖧). From this fact we conclude that for every uncountable cardinal κ ≤ 𝔟 there is a countable dense homogeneous metric space of size κ. Moreover, the existence of a meager in itself countable dense homogeneous metric space of size κ is equivalent to the existence of a λ-set of size κ. On the other hand, it is consistent with the continuum arbitrarily large that every 𝖢𝖣𝖧 metric space has size either ω₁ or 𝔠. An...
Countable extension of triangular norms and their applications to the fixed point theory in probabilistic metric spaces
Countably determined locally convex spaces
Countably determined sets and a conjecture of C.W. Henson.
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.