Common fixed points of compatible mappings.
Common fixed points of generalized contractive hybrid pairs in symmetric spaces.
Common fixed points of Greguš type multi-valued mappings
This work is considered as a continuation of [19,20,24]. The concepts of -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.
Common fixed points of mappings and set-valued mappings in symmetric spaces with application to probabilistic spaces.
Common fixed points of maps on fuzzy metric spaces.
Common fixed points of set-valued mappings.
Common fixed points of single-valued and multivalued maps.
Common fixed points of three self-mappings in cone metric spaces.
Common fixed points of two isotone maps on a complete lattice
Common fixed points of weakly contractive and strongly expansive mappings in topological spaces.
Common fixed points via weakly biased Greguš type mappings.
Common fuzzy hybrid fixed point theorems for a sequence of fuzzy mappings.
Common random fixed points of compatible random operators.
Common stationary points for set-valued mappings.
Common stationary points of multivalued mappings on bounded metric spaces.
Commuting contractive families
A family f₁,..., fₙ of operators on a complete metric space X is called contractive if there exists a positive λ < 1 such that for any x,y in X we have for some i. Austin conjectured that any commuting contractive family of operators has a common fixed point, and he proved this for the case of two operators. We show that Austin’s conjecture is true for three operators, provided that λ is sufficiently small.
Commuting mappings, fixed points and Ciric contraction in uniform spaces.
Compact connected semilattices without the fixed point property.
Compatibility of type (P) in modified intuitionistic fuzzy metric space.
Compatible mapping and common fixed points.