Nonexpansive mappings and convex sequences
Nonlinear contractive conditions: A comparison and related problems
We establish five theorems giving lists of nonlinear contractive conditions which turn out to be mutually equivalent. We derive them from some general lemmas concerning subsets of the plane which may be applied both in the single- or set-valued case as well as for a family of mappings. A separation theorem for concave functions is proved as an auxiliary result. Also, we discuss briefly the following problems for several classes of contractions: stability of procedure of successive approximations,...
Nonlinear contractive conditions for coupled cone fixed point theorems.
Nonlocal controllability for the semilinear fuzzy integrodifferential equations in -dimensional fuzzy vector space.
Non-self mappings in modular spaces and common fixed point theorems
The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.
Non-symmetric generalizations of theorems of Dyson and Livesay
Non-Unique Fixed Points In L-Spaces
Non-unique fixed points in L-spaces.
Note on KKM maps and applications.
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