Observations on a variant of compatibility.
On a class of spaces for which the fixed-point property is characterized by homology groups
On a common fixed point for sequence of selfmappings in generalized metric space.
On A Common Fixed Point Theorem Of A Greguš Type
On a contractivity condition in fixed point theory and the theory of selections
On a discrete version of the antipodal theorem
The classical theorem of Borsuk and Ulam [2] says that for any continuous mapping there exists a point such that f(-x) = f(x). In this note a discrete version of the antipodal theorem is proved in which is replaced by the set of vertices of a high-dimensional cube equipped with Hamming’s metric. In place of equality we obtain some optimal estimates of which were previously known (as far as the author knows) only for f linear (cf. [1]).
On a family of contractive maps and fixed points
On a fixed point theorem in metric space
On a fixed point theorem of Fisher and Sessa.
On a fixed point theorem of Greguš.
On a fixed point theorem of Krasnoselskii and triangle contractive operators
On a fixed-point theorem of Banach-type for uniform spaces
On a generalization of a Greguš fixed point theorem
Let be a closed convex subset of a complete convex metric space . In this paper a class of selfmappings on , which satisfy the nonexpansive type condition below, is introduced and investigated. The main result is that such mappings have a unique fixed point.
On a problem of Gulevich on nonexpansive maps in uniformly convex Banach spaces
Let be a uniformly convex Banach space, , a nonexpansive map, and a closed bounded subset such that . If (1) is weakly inward and is star-shaped or (2) satisfies the Leray-Schauder boundary condition, then has a fixed point in . This is closely related to a problem of Gulevich [Gu]. Some of our main results are generalizations of theorems due to Kirk and Ray [KR] and others.
On a question of Ivanov relating to nonlinear quasicontractive mappings.
On a simply connected 1-dimensional continuum without the fixed point property
On a stability theorem for the fixed-point property
On a Suzuki type general fixed point theorem with applications.
On a theorem of B. Barna.
On a theorem of Pachpatte