Contraction of some spaces of homeomorphisms
Contractions of Nadler type on partial tvs-cone metric spaces
This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.
Contractions on probabilistic metric spaces: examples and counterexamples.
The notion of a contraction mapping for a probabilistic metric space recently introduced by T. L. Hicks is compared with the notion previously introduced by V. L. Sehgal and A. T. Bharucha-Reid. By means of appropriate examples, it is shown that these two notions are independent. It is further shown that every Hick's contraction on a PM space (S,F,tW) is an ordinary metric contraction with respect to a naturally defined metric on that space; and it is again pointed out that, in Menger spaces under...
Contractions over generalized metric spaces.
Contractive conditions and common fixed points.
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
Contra-pre-semi-continuous functions.
Contra-semicontinuous functions.
Contre-exemples associés aux théorèmes de Rosenthal. Quelques propriétés liées à ces résultats
Contribution à l'étude de la séparabilité multiple.
Control functions and total boundedness in the space .
Controllability theorem for nonlinear dynamical systems
Some sufficient conditions for controllability of nonlinear systems described by differential equation ẋ = f(t,x(t),u(t)) are given.
Convenient categories for topologists
Convergence comparison of several iteration algorithms for the common fixed point problems.
Convergence functions and their related topologies
Convergence in compacta and linear Lindelöfness
Let be a compact Hausdorff space with a point such that is linearly Lindelöf. Is then first countable at ? What if this is true for every in ? We consider these and some related questions, and obtain partial answers; in particular, we prove that the answer to the second question is “yes” when is, in addition, -monolithic. We also prove that if is compact, Hausdorff, and is strongly discretely Lindelöf, for every in , then is first countable. An example of linearly Lindelöf...
Convergence in exponentiable spaces.