Abstract
In the present work, the concept of F -generalized contractive type mappings by using C -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.
Highlights
The study of common fixed points was initiated by Gerald Jungck [1] in 1986, and this concept has attracted many researchers to prove the existence of fixed points by using various metrical contractions
In 2010, Hong [10] defined the concept of approximative values to prove the existence of common fixed points for multivalued operators in the framework of ordered metric spaces
Erduran [11] extended this concept and studied some fixed point results for multivalued mappings in partial metric spaces
Summary
The study of common fixed points was initiated by Gerald Jungck [1] in 1986, and this concept has attracted many researchers to prove the existence of fixed points by using various metrical contractions.On the other hand, the notion of partial metric spaces was presented by S.G. The notion of F -generalized contractive type mappings is introduced, and some common fixed point theorems for multivalued mappings in ordered partial metric spaces using C-class functions are obtained. ([2]) For a partial metric space (U, p), a sequence {un } in U is said to be (i) convergent if there exists a point u ∈ U such that p(u, u) = lim p(un , u); n→∞
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