Integral type contractions of soft set-valued maps with application to neutral differential equations

Mohammed Shehu Shagari; Akbar Azam; Mohammed Shehu Shagari; Akbar Azam

doi:10.3934/math.2020023

AIMS Mathematics

2020, Volume 5, Issue 1: 342-358. doi: 10.3934/math.2020023

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Research article

Integral type contractions of soft set-valued maps with application to neutral differential equations

Mohammed Shehu Shagari ^,,
Akbar Azam

Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad, 44000, Pakistan

Received: 06 September 2019 Accepted: 11 November 2019 Published: 20 November 2019
MSC : 46S40, 47H10, 54H25

We establish e-soft fixed point results for soft set-valued maps under some integral contractive conditions on a complete metric space. Starting from Branciari integral contraction, the presented results are soft set extensions of many existing results on point-to-point and point-to-set mappings. In particular, the established idea herein improves the recently introduced concepts of soft set-valued maps. Moreover, examples and applications to nonlinear neutral differential equations are provided to support the usability of the derived results.
- fuzzy set,
- soft set,
- soft set-valued map,
- E-soft fixed point,
- neutral delay differential equation
Citation: Mohammed Shehu Shagari, Akbar Azam. Integral type contractions of soft set-valued maps with application to neutral differential equations[J]. AIMS Mathematics, 2020, 5(1): 342-358. doi: 10.3934/math.2020023

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Abstract

We establish e-soft fixed point results for soft set-valued maps under some integral contractive conditions on a complete metric space. Starting from Branciari integral contraction, the presented results are soft set extensions of many existing results on point-to-point and point-to-set mappings. In particular, the established idea herein improves the recently introduced concepts of soft set-valued maps. Moreover, examples and applications to nonlinear neutral differential equations are provided to support the usability of the derived results.

References

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