Dass and Gupta's fixed point theorem in  F-metric spaces

Lateef, Durdana; Ahmad, Jamshaid

doi:10.22436/jnsa.012.06.06

Cited by 19 publications

(12 citation statements)

References 4 publications

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“…is F-convergent to ζ * . Afterwards, many researchers [2][3][4][5][6][7][8][9] worked in this space.…”

Section: Preliminariesmentioning

confidence: 99%

“…Recently, Jlei and Samet [1] initiated a generalized metric space named as F-metric space and showed a generalization of the Banach contraction principle. Meanwhile, researchers have picked keen interests in extending results in this generalized metric space; see for instance, [2][3][4][5]. In this paper, we define some generalized contractions and establish some results in the context of F-metric spaces.…”

Section: Introductionmentioning

confidence: 99%

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Some Generalized Fixed Point Results with Applications to Dynamic Programming

Alsulami

Hussain

Ahmad

2020

Journal of Function Spaces

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The aim of this paper is to introduce some generalized contractions and prove certain new fixed point results for self-mappings satisfying these contractions in the setting of F-metric space. As an application of our results, we investigate the problem of dynamic programming related to the multistage process which formulates the problems of computer programming and mathematical optimization. We also provide an example to support the validity of our main results.

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“…is F-convergent to ζ * . Afterwards, many researchers [2][3][4][5][6][7][8][9] worked in this space.…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Some Generalized Fixed Point Results with Applications to Dynamic Programming

Alsulami

Hussain

Ahmad

2020

Journal of Function Spaces

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“…is F -convergent to u * . Furthermore, Alnaser et al [6] and Lateef et al [7] obtained the relation-theoretic contraction results and the fixed point theorems of Dass and Gupta, respectively, owing to the notion of F -metric spaces.…”

Section: Examplementioning

confidence: 99%

New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations

et al. 2019

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The aim of this study is to investigate the existence of solutions for a non-linear neutral differential equation with an unbounded delay. To achieve our goals, we take advantage of fixed point theorems for self-mappings satisfying a generalized ( α , φ ) rational contraction, as well as cyclic contractions in the context of F -metric spaces. We also supply an example to support the new theorem.

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“…Lateef [4] established Kannan [5] type fixed point theorems in the setting of a controlled metric space. Theorem 2 ([4]).…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Results in Controlled Metric Spaces with Applications

Al-Mazrooei

Ahmad

2022

Mathematics

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The aim of this paper is to obtain some common fixed point theorems for generalized contractions involving certain control functions in controlled metric space and derive some generalized fixed point results as a consequence of our main results. We also prove some common fixed point theorems in controlled metric spaces endowed with a graph. Our results will generalize and amend many famous results from the literature. We also provide an example to show the authenticity of the established results. As an application of our main result, we investigate the solution of integral equations.

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Dass and Gupta's fixed point theorem in F-metric spaces

Abstract: The purpose of this article is to define Dass and Gupta's contraction in the context of F-metric spaces and obtain some new fixed point theorems to elaborate, generalize and synthesize several known results in the literature including Jleli and Samet [M.

Cited by 19 publications

References 4 publications

Some Generalized Fixed Point Results with Applications to Dynamic Programming

Some Generalized Fixed Point Results with Applications to Dynamic Programming

New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations

Fixed Point Results in Controlled Metric Spaces with Applications

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