Existence and Uniqueness for a First-Order Periodic Differential Problem Via Fixed Point Results

Nastasi, Antonella; Vetro, Pasquale

doi:10.1007/s00025-016-0551-x

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Application To Differential Equations1

Introduction1

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2017

2023

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Cited by 6 publications

(3 citation statements)

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“…In this section, inspired by Natashi and Vetro [6] and Harjani and Sadarangani [3] we establish the existence of a solution of a differential equation as an application of our result. for all u, v ∈ X.…”

Section: Application To Differential Equationsmentioning

confidence: 90%

Common Fixed Point results in Complex valued metric spaces via simulation functions

Gupta¹,

Rohilla²

2019

Preprint

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In this paper, the notion of C-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via C-simulation functions are studied. Examples are also provided to demonstrate the results. The existence and uniqueness of a first-order periodic differential equation is also obtained as an application of the result.

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Section: Application To Differential Equationsmentioning

confidence: 90%

Common Fixed Point results in Complex valued metric spaces via simulation functions

Gupta¹,

Rohilla²

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…Wardowski [1] introduced a new proper generalization of Banach contraction. For other related papers in the literature, see [2][3][4][5][6][7][8][9][10]. e main result of Wardowski is as follows.…”

Section: Introductionmentioning

confidence: 99%

“…Definition of metric d. ζ is a fixed point of T. erefore, we can assume that d(T] n , Tζ) > 0 for every n ∈ N, and by(5), we obtain…”

mentioning

confidence: 99%