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
On A Weak Commutativity Condition Of Mappings In Fixed Point Considerations
On absolute fixed-point sets
On almost coincidence points in generalized convex spaces.
On Banach's fixed point theorem and formal balls.
On best proximity pair theorems and fixed-point theorems.
On Caristi's fixed point theorem in F-type topological spaces.
On characterizations of fixed points.
On Ciric's fixed point theorem
On Ćirić's non-unique fixed points
On coincidence and common fixed points of nearly densifying mappings.
On coincidence and fixed-point theorems in symmetric spaces.