A Discussion on the Existence of Best Proximity Points That Belong to the Zero Set

Karapınar, Erdal; Abbas, Mujahid; Farooq, Sadia

doi:10.3390/axioms9010019

Cited by 7 publications

(1 citation statement)

References 22 publications

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“…One of the latest extensions of metric spaces and partial metric spaces [10] was given in paper [28], which completed the concept of m-metric spaces. Using this concept, several researchers have proven some fixed point results in this area (see [20,[29][30][31][32][33]). Subsequently, since every F-contraction mapping is contractive and also continuous, Secelean et al [34] proved that the continuity of an F-contraction can be obtained from condition F 2 .…”

Section: Introductionmentioning

confidence: 99%

On Relational Weak Fℜm,η-Contractive Mappings and Their Applications

et al. 2023

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In this article, we introduce the concept of weak Fℜm,η-contractions on relation-theoretic m-metric spaces and establish related fixed point theorems, where η is a control function and ℜ is a relation. Then, we detail some fixed point results for cyclic-type weak Fℜm,η-contraction mappings. Finally, we demonstrate some illustrative examples and discuss upper and lower solutions of Volterra-type integral equations of the form ξα=∫0αAα,σ,ξσmσ+Ψα,α∈0,1.

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Section: Introductionmentioning

confidence: 99%

On Relational Weak Fℜm,η-Contractive Mappings and Their Applications

et al. 2023

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Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems

2021

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This paper provides two wide classes of contractions, which are obtained by using notions of $\alpha _{s^{p}} $ α s p -admissibility and the rich set of C-class functions in the setting of a complete b-metric-like space under more general contractive conditions. An application is provided and many known results in the literature can be derived.

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A study of common fixed points that belong to zeros of a certain given function with applications

Saleh

Imdad

Karapınar

2021

NAMC

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In this paper, we establish some point of φ-coincidence and common φ-fixed point results for two self-mappings defined on a metric space via extended CG-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.

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A Discussion on the Existence of Best Proximity Points That Belong to the Zero Set

Cited by 7 publications

References 22 publications

On Relational Weak Fℜm,η-Contractive Mappings and Their Applications

On Relational Weak Fℜm,η-Contractive Mappings and Their Applications

Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems

A study of common fixed points that belong to zeros of a certain given function with applications

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