A theorem of Meir-Keeler type revisited.
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A Theorem of the Closed Graph Type.
A theorem on coincidence point for a family of mappings.
A theorem on common fixed points of expansion type mappings in cone metric spaces.
A Theorem On Contraction Mappings
A theorem on contraction mappings.
A theorem on contractive mappings
A theorem on the common fixed point in locally convex spaces
A topological version of the Schauder theorem
A unique common fixed point theorem for occasionally weakly compatible maps.
A weakly chainable uniquely arcwise connected continuum without the fixed point property
A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.
AANR spaces and absolute retracts for tree-like continua
Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as absolute terminal retracts, i.e., retracts of continua in which they are embedded as terminal subcontinua. This implies that any AANR continuum has a dense arc component, and that any ANR continuum is an absolute terminal retract. It is proved that each absolute retract for any of the classes of: tree-like continua, -dendroids, dendroids, arc-like continua and arc-like -dendroids is an approximative absolute...
About one fixed point theorem.
Absolute fixed point sets and AR-spaces
Absolute fixed-point sets in compacta
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Almost continuous functions on
Almost fixed points of semigroups of non-expansive mappings
An analogon of the fixed-point theorem and its application for graphs