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On Diviccaro, Fisher and Sessa open questions

Ljubomir B. Ćirić (1993)

Archivum Mathematicum

Let $K$ be a closed convex subset of a complete convex metric space $X$ and $T, I : K \to K$ two compatible mappings satisfying following contraction definition: $T x, T y) \leq (I x, I y) + (1 - a) max {I x . T x), I y, T y)}$ for all $x, y$ in $K$ , where $0 < a < 1 / 2^{p - 1}$ and $p \geq 1$ . If $I$ is continuous and $I (K)$ contains $[T (K)]$ , then $T$ and $I$ have a unique common fixed point in $K$ and at this point $T$ is continuous. This result gives affirmative answers to open questions set forth by Diviccaro, Fisher and Sessa in connection with necessarity of hypotheses of linearity and non-expansivity of $I$ in their Theorem [3]...

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Displaying 721 – 740 of 1039

On Diviccaro, Fisher and Sessa open questions

On equivalence of some iterations convergence for quasi-contraction maps in convex metric spaces.

On existence of equilibrium pair for constrained generalized games.

On fixed edges of antitone self-mappings of complete lattices.

On fixed point theorems for absolute retracts

On fixed point theorems for multifunctions in dendroids

On fixed point theorems for multivalued contractions.

On fixed point theorems in 2-metric space.

On Fixed Point Theorems In Banach Spaces

On Fixed Point Theorems of Maia Type

On fixed points.

On fixed points of maximalizing mappings in posets.

On fixed points of set-valued directional contractions.

On fixed-point theorems in complete metric spaces

On f.p.p. and f.*p.p. of some not locally connected continua

On fuzzy $ε$ -contractive mappings in fuzzy metric spaces.

On generalized implicit vector equilibrium problems in topological ordered spaces.

On Kannan fixed point principle in generalized metric spaces.

On local isometries and isometries in metric spaces

On locally contractive fixed-point mappings

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