Fixed point theorems for ( α , η , ψ , ξ )-contractive multi-valued mappings on α-η-complete partial metric spaces

  title={Fixed point theorems for ( α , η , ψ , ξ )-contractive multi-valued mappings on α-η-complete partial metric spaces},
  author={Ali P. Farajzadeh and Preeyaluk Chuadchawna and Anchalee Kaewcharoen},
In this paper, the notion of strictly (α, η, ψ, ξ)-contractive multi-valued mappings is introduced where the continuity of ξ is relaxed. The existence of fixed point theorems for such mappings in the setting of α-η-complete partial metric spaces are provided. The results of the paper can be viewed as the extension of the recent results obtained in the literature. Furthermore, we assure the fixed point theorems in partial complete metric spaces endowed with an arbitrary binary relation and with… CONTINUE READING
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