A theoretical view of existence results by using fixed point theory for quasi-variational inequalities

Wang, Min; Karaca, Yeliz; Rahman, Mati ur; Zhou, Mi

doi:10.1080/27690911.2023.2167990

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2023

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“…Metric fixed point theory occupies an important role in nonlinear functional analysis. The strength of metric fixed point theory lies in its wide range of applications to various domains such as optimization theory [22,23], variational inequalities [24,25] and FDE [26,27]. Recently, Ishtiaq et al [28] obtained some fixed point theorems in intuitionistic fuzzy N b metric space and utilized the same to solve a class of nonlinear fractional differential equations.…”

Section: Introductionmentioning

confidence: 99%

Geraghty Type Contractions in Relational Metric Space with Applications to Fractional Differential Equations

et al. 2023

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The present manuscript is devoted to investigating some existence and uniqueness results on fixed points by employing generalized contractions in the context of metric space endued with a weak class of transitive relation. Our results improve, modify, enrich and unify several existing fixed point theorems, The results proved in this study are utilized to find a unique solution of certain fractional boundary value problems.

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