Rhoades, Billy E.
|Mathematical Institute of the Serbian Academy of Sciences and Arts
|Assad-kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces
|Fixed Point Theory and Applications
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.
|Ministry of Science and Environmental Protection of Serbia, Grant 14021
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checked on Feb 28, 2024
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