Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

Ameer, Eskandar; Aydi, Hassen; Arshad, Muhammad; Sen, Manuel De la

doi:10.3390/sym12030467

Cited by 59 publications

(30 citation statements)

References 30 publications

(44 reference statements)

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“…The researchers have studied the functionals (1.1) and (1.2) and established certain remarkable inequalities by employing different techniques. We refer the reader to [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The existence and uniqueness of a miscible flow equation through porous media with a nonsingular fractional derivative, unified integral inequalities comprising pathway operators, certain results comprising the weighted Chebyshev functional using pathway fractional integrals and integral inequalities associated with Gauss hypergeometric function fractional integral operator can be found in [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

On the weighted fractional integral inequalities for Chebyshev functionals

et al. 2021

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The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function $\mathcal{G}$ G in the kernel. Also, we present weighted fractional integral inequalities for the weighted and extended Chebyshev’s functionals. One can easily investigate some new inequalities involving all other type weighted fractional integrals associated with Chebyshev’s functionals with certain choices of $\omega (\theta )$ ω ( θ ) and $\mathcal{G}(\theta )$ G ( θ ) as discussed in the literature. Furthermore, the obtained weighted fractional integral inequalities will cover the inequalities for all other type fractional integrals such as Katugampola fractional integrals, generalized Riemann–Liouville fractional integrals, conformable fractional integrals and Hadamard fractional integrals associated with Chebyshev’s functionals with certain choices of $\omega (\theta )$ ω ( θ ) and $\mathcal{G}(\theta )$ G ( θ ) .

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Section: Introductionmentioning

confidence: 99%

On the weighted fractional integral inequalities for Chebyshev functionals

et al. 2021

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“…Klim and Wardowski [11] further discussed F-contractions in the frame of dynamic process and proved fixed point results of F-contractions for multivalued mappings. Along the same line, the class of F-contractions was further extended by various authors, see [12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Also, numerous results on F-contractions have been proved, while imposing the contraction on the closed ball.…”

Section: Introductionmentioning

confidence: 99%

Analysis ofF-contractions in function weighted metric spaces with an application

Asif

Aydi

et al. 2020

Open Mathematics

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Abstract In this work, we show that the existence of fixed points of F-contraction mappings in function weighted metric spaces can be ensured without third condition (F3) imposed on Wardowski function F\mathrm{:(0,\hspace{0.33em}}\infty )\to \Re . The present article investigates (common) fixed points of rational type F-contractions for single-valued mappings. The article employs Jleli and Samet’s perspective of a new generalization of a metric space, known as a function weighted metric space. The article imposes the contractive condition locally on the closed ball, as well as, globally on the whole space. The study provides two examples in support of the results. The presented theorems reveal some important corollaries. Moreover, the findings further show the usefulness of fixed point theorems in dynamic programming, which is widely used in optimization and computer programming. Thus, the present study extends and generalizes related previous results in the literature in an empirical perspective.

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“…More clearly, for example, the technique of fixed point is applied for finding the solution of the equilibrium troubles in economics and game theory. In nonlinear integral equations, it is used to find analytical and numerical solutions to Fredholm integral equations [1][2][3][4][5], etc.…”

Section: Introductionmentioning

confidence: 99%

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

Hammad

Sen

2020

J Inequal Appl

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This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous studies in this line. Moreover, some corollaries and suitable examples are presented to demonstrate the novelty of the results established. Ultimately, two applications are given here to boost our theoretical consequences, the first one about the contributions of the integral type to obtain a triple coincidence points and the other application is about solving a system of nonlinear integral equations.

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Hybrid Ćirić Type Graphic Υ,Λ-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

Cited by 59 publications

References 30 publications

On the weighted fractional integral inequalities for Chebyshev functionals

On the weighted fractional integral inequalities for Chebyshev functionals

Analysis ofF-contractions in function weighted metric spaces with an application

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

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