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Displaying 681 – 700 of 1039

On a generalization of a Greguš fixed point theorem

Ljubomir B. Ćirić (2000)

Czechoslovak Mathematical Journal

Let $C$ be a closed convex subset of a complete convex metric space $X$ . In this paper a class of selfmappings on $C$ , which satisfy the nonexpansive type condition $(2)$ 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

Sehie Park (1996)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a uniformly convex Banach space, $D \subset X$ , $f : D \to X$ a nonexpansive map, and $K$ a closed bounded subset such that $\bar{co} K \subset D$ . If (1) ${f |}_{K}$ is weakly inward and $K$ is star-shaped or (2) ${f |}_{K}$ satisfies the Leray-Schauder boundary condition, then $f$ has a fixed point in $\bar{co} K$ . 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.

Currently displaying 681 – 700 of 1039

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Displaying 681 – 700 of 1039

On a generalization of a Greguš fixed point theorem

On a problem of Gulevich on nonexpansive maps in uniformly convex Banach spaces

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.

On coincidence theorems for a family of mappings in convex metric spaces.

Currently displaying 681 – 700 of 1039