Fixed point theorems for asymptotically T-regular mappings in preordered modular G-metric spaces applied to solving nonlinear integral equations

Okeke, Godwin Amechi; Francis, Daniel

doi:10.1007/s41478-021-00354-1

Cited by 9 publications

(3 citation statements)

References 22 publications

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“…The authors of this note recommend the readers to refer to [22][23][24] for various new concepts of fixed-point theory and applications such as Volterra-Fredholm integral equations, solving nonlinear integral equations, etc.…”

Section: Introduction and Prelimnariesmentioning

confidence: 99%

“…From condition (1), and since η 0 ∈ ℘ 1 , we have (η nq ) n≥0 ⊆ ℘ 1 . Since ℘ 1 is closed, from (24), we obtain η * ∈ ℘ 1 . Again, from condition (1), we have (η nq+1 ) n≥0 ⊆ ℘ 2 .…”

mentioning

confidence: 99%

“…Again, from condition (1), we have (η nq+1 ) n≥0 ⊆ ℘ 2 . Since ℘ 2 is closed, from (24), we obtain η * ∈ ℘ 2 . Continuing this process, we obtain…”

mentioning

confidence: 99%

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Fixed Points for (ξ,ω)-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application

et al. 2022

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In the present work, we have introduced a new type of (ξ,ω)-weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.

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Section: Introduction and Prelimnariesmentioning

confidence: 99%

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confidence: 99%