Fixed-point results for generalized contraction in K-sequentially complete ordered dislocated fuzzy quasimetric spaces

Abstract

Abstract The ambition of this work is to introduce the notion of left (right) K-sequentially complete ordered dislocated fuzzy quasimetric spaces and to define a relevant Hausdorff metric on compact sets. A new approach, given in (Shoaib et al. in Filomat 34(2):323–338, 2020) has been used to obtain fixed-point results for multivalued mappings fulfilling generalized contraction in the latest framework. For the authenticity of our result, an example is formulated.

Keywords

• Common fixed point
• Left (right) K-sequentially complete dislocated fuzzy quasimetric space
• Open ball
• Multivalued mappings
• Partial order