Fixed point results for generalized cyclic contraction mappings in partial metric spaces

Abstract

We obtain extensions of Matkowski's fixed point theorem for generalized contractions ofĆirić's type on 0-complete partial metric spaces and on ordered 0-complete partial metric spaces, respectively. MSC: 54H25, 47H10, 54E50

Common fixed points for multivalued generalized contractions on partial metric spaces

“…Confirming the interest for partial metric spaces [1,23], in this paper we extend the result of Wong to the case of two multivalued mappings that satisfy a generalized contractive condition in the framework of partial Hausdorff metric spaces. We also prove a common fixed point result for a hybrid pair of single valued and multivalued mappings satisfying a weak contractive condition.…”

Applications of fixed point results for cyclic Boyd-Wong type generalized F-psi-contractions to dynamic programming

“…Further, Abbas et al [1] extended the result of Romaguera [16] to cyclic mappings and proved the result, taking φ ∈ Φ as a continuous map. Most recently, Aydi et al [4] presented the result of Abbas et al [1] for a shaky assumptions over φ ∈ Φ. Ones can find new results on the fixed point theory and application in partial metric spaces in [2,6,11].…”

Existence of common fixed points of improved F-contraction on partial metric spaces

“…In fact, a partial metric space is a generalization of metric space in which the self distances p(r 1 , r 1 ) of elements of a space may not be zero and follows the inequality p(r 1 , r 1 ) ≤ p(r 1 , r 2 ). After this remarkable contribution, many authors took interest in partial metric spaces and its topological properties and presented several well known fixed point results in the framework of partial metric spaces (see [1,2,3,4,12] and references therein). In 1922, Banach presented a landmark fixed point result (Banach Contraction Principle).…”