Add to ORKGLet E be a Banach space and F : E --> E be a 1-Lipschitz set-valued mapping with closed convex non-empty values. We study the set of fixed points Fix(F)={ x in E : x in F(x)} and provide in any space E with dim(E) > 2 an example of such a mapping F such that Fix(F) is not connected
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
AbstractIt is shown that, in the sense of the Baire category, almost all continuous single valued α-...
A mapping F of a metric space X into itself is said to satisfy a Lipschitz condition with Lipschitz ...
International audienceLet E be a Banach space and F : E --> E be a 1-Lipschitz set-valued mapping wi...
International audienceLet E be a Banach space and F : E --> E be a 1-Lipschitz set-valued mapping wi...
In this paper, using the concept of completion, we establish the existence of approximate fixed...
We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger ...
AbstractWe introduce some condition on mappings. The condition is weaker than nonexpansiveness and s...
We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger ...
AbstractWe prove a fixed-point theorem for set-valued mappings defined on a nonempty compact subset ...
For a bounded closed convex set $K$, in this note, we study the FPP for $\alpha$-H\"older nonexpansi...
summary:We give an example of an extremally disconnected compact Hausdorff space with an open contin...
summary:We give an example of an extremally disconnected compact Hausdorff space with an open contin...
[EN] In this paper, we will prove a fixed point theorem for a ray-oriented map defined on a nonempty...
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
AbstractIt is shown that, in the sense of the Baire category, almost all continuous single valued α-...
A mapping F of a metric space X into itself is said to satisfy a Lipschitz condition with Lipschitz ...
International audienceLet E be a Banach space and F : E --> E be a 1-Lipschitz set-valued mapping wi...
International audienceLet E be a Banach space and F : E --> E be a 1-Lipschitz set-valued mapping wi...
In this paper, using the concept of completion, we establish the existence of approximate fixed...
We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger ...
AbstractWe introduce some condition on mappings. The condition is weaker than nonexpansiveness and s...
We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger ...
AbstractWe prove a fixed-point theorem for set-valued mappings defined on a nonempty compact subset ...
For a bounded closed convex set $K$, in this note, we study the FPP for $\alpha$-H\"older nonexpansi...
summary:We give an example of an extremally disconnected compact Hausdorff space with an open contin...
summary:We give an example of an extremally disconnected compact Hausdorff space with an open contin...
[EN] In this paper, we will prove a fixed point theorem for a ray-oriented map defined on a nonempty...
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
For any non-trivial convex and bounded subset $C$ of a Banach space, we show that outside of a $\sig...
AbstractIt is shown that, in the sense of the Baire category, almost all continuous single valued α-...
A mapping F of a metric space X into itself is said to satisfy a Lipschitz condition with Lipschitz ...