Assad-Kirk-Type Fixed Point Theorems for a Pair of Nonself Mappings on Cone Metric Spaces

By Slobodanka Jankovic, Zoran Kadelburg, Stojan Radenovic, B. Rhoades. 2009

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New fixed point results for a pair of non-self mappings defined on a closed subset of a metrically convex cone metric space (which is not necessarily normal) are obtained. By adapting Assad-Kirk's method the existence of a unique common fixed point for a pair of non-self mappings is proved, using only the assumption that the cone interior is nonempty. Examples show that the obtained results are proper extensions of the existing ones.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a141e1bbe87263e23c549fac440a15b092a6635e