Common fixed-point results of fuzzy mappings and applications on stochastic Volterra integral equations

Shazia Kanwal; Mohammed Shehu Shagari; Hassen Aydi; Aiman Mukheimer; Thabet Abdeljawad

doi:10.1186/s13660-022-02849-2

Common fixed-point results of fuzzy mappings and applications on stochastic Volterra integral equations

Shazia Kanwal, Mohammed Shehu Shagari, Hassen Aydi^*, Aiman Mukheimer, Thabet Abdeljawad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a novel integral-type contraction condition is applied to obtain these results. In this way, several useful and classical results have been generalized. Moreover, a concrete example is created to furnish our results. An application to stochastic Volterra integral equations has been given to enhance the validity of our results.

Original language	English
Article number	110
Journal	Journal of Inequalities and Applications
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1186/s13660-022-02849-2
Publication status	Published - 2022
Externally published	Yes

Keywords

Fixed point
Fuzzy mapping
Hausdorff metric
Integral equation

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10.1186/s13660-022-02849-2

Cite this

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abstract = "The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a novel integral-type contraction condition is applied to obtain these results. In this way, several useful and classical results have been generalized. Moreover, a concrete example is created to furnish our results. An application to stochastic Volterra integral equations has been given to enhance the validity of our results.",

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AU - Mukheimer, Aiman

AU - Abdeljawad, Thabet

PY - 2022

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AB - The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a novel integral-type contraction condition is applied to obtain these results. In this way, several useful and classical results have been generalized. Moreover, a concrete example is created to furnish our results. An application to stochastic Volterra integral equations has been given to enhance the validity of our results.

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KW - Fuzzy mapping

KW - Hausdorff metric

KW - Integral equation

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Common fixed-point results of fuzzy mappings and applications on stochastic Volterra integral equations

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Keywords

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