Saddle point theorems on generalized convex spaces.
En nous inspirant d’articles de Beardon, nous donnons des résultats concernant les points fixes et les orbites d’auto-applications contractantes et semi-contractantes des espaces connexes localement compacts. Des résultats plus précis sont obtenus dans le cas des variétés complexes Kobayashi hyperboliques.
We give an affirmative answer to Schauder's fixed point question.
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
We introduce partial generalized convex contractions of order and rank using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in -complete metric spaces and -complete metric spaces. Also, as an application, some fixed point results in a metric space endowed with a binary relation and some approximate fixed point results in a metric space endowed with a graph have been obtained. Some examples...
Let be a continuous selfmap of a compact metrizable space . We prove the equivalence of the following two statements: (1) The mapping is a Banach contraction relative to some compatible metric on . (2) There is a countable point separating family of non-negative functions such that for every there is with .
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings.