Dislocated Soft Metric Space with Soft Fixed Point Theorems

“…After this, Rasham et al [34] obtained the multivalued fixed point results for new generalized-dominated contractive mappings on dislocated metric space with application. Wadkare et al [35] proved some fixed point theorems in dislocated metric space. After which several useful results were established, [1,10,25,26,31] introducing the notion of contractions and related fixed point results in dislocated metric spaces.…”

Section: Introduction To Dislocated Metric Spacementioning

confidence: 99%

On a class of fixed points for set contractions on partial metric spaces with a digraph

Nazır

Ali

Nosrat

et al. 2023

MATH

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<abstract><p>We investigate the existence of fixed point problems on a partial metric space. The results obtained are for set contractions in the domain of sets and the pattern for the partial metric space is constructed on a directed graph. Essentially, our main strategy is to employ generalized $ \phi $-contractions in order to prove our results, where the fixed points are investigated with a graph structure. Moreover, we state and prove the well-posedness of fixed point based problems of the generalized $ \phi $-contractive operator in the framework of a partial metric space. We illustrate the main results in this manuscript by providing several examples.</p></abstract>

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