A new fixed-point theorem for contractive mappings.
Fixed point theorems in Banach spaces.
On a question of Ivanov relating to nonlinear quasicontractive mappings.
A remark on Rhoades fixed point theorem for non-self mappings.
A generalization of Caristi's fixed point theorem.
Some theorems on common fixed points.
On random coincidence and fixed points for a pair of multivalued and single-valued mappings.
A Certain Class Of Mappings In Topological Spaces
On a family of contractive maps and fixed points
On Fixed Points Of Generalized Contractions On Probabilistic Metric Spaces
On A Common Fixed Point Theorem Of A Greguš Type
Fixed And Periodic Points For A Class Of Contractive Operators
On Common Fixed Points In Uniform Spaces
On Diviccaro, Fisher and Sessa open questions
Let be a closed convex subset of a complete convex metric space and two compatible mappings satisfying following contraction definition: for all in , where and . If is continuous and contains , then and have a unique common fixed point in and at this point 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 in their Theorem [3]...
A new class of nonexpansive type mappings and fixed points
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
On some discontinuous fixed point mappings in convex metric 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.
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Let be a convex subset of a complete convex metric space , and and be two selfmappings on . In this paper it is shown that if the sequence of Ishikawa iterations associated with and converges, then its limit point is the common fixed point of and . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].
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