Fixed Point Theory and Applications (Jan 2009)

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

  • Kadelburg Z,
  • Rhoades BE,
  • Radenović S,
  • Janković S

Journal volume & issue
Vol. 2009, no. 1
p. 761086

Abstract

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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.