On the existence of a fuzzy integral equation of Urysohn-Volterra type

Mohamed Abdalla Darwish

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2008)

  • Volume: 28, Issue: 1, page 75-82
  • ISSN: 1509-9407

Abstract

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We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.

How to cite

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Mohamed Abdalla Darwish. "On the existence of a fuzzy integral equation of Urysohn-Volterra type." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 28.1 (2008): 75-82. <http://eudml.org/doc/271134>.

@article{MohamedAbdallaDarwish2008,
abstract = {We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.},
author = {Mohamed Abdalla Darwish},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {fuzzy integral equation; Urysohn-Volterra; Hausdorff metric; Schauder fixed point theorem; Urysohn-Volterra integral equation},
language = {eng},
number = {1},
pages = {75-82},
title = {On the existence of a fuzzy integral equation of Urysohn-Volterra type},
url = {http://eudml.org/doc/271134},
volume = {28},
year = {2008},
}

TY - JOUR
AU - Mohamed Abdalla Darwish
TI - On the existence of a fuzzy integral equation of Urysohn-Volterra type
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2008
VL - 28
IS - 1
SP - 75
EP - 82
AB - We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
LA - eng
KW - fuzzy integral equation; Urysohn-Volterra; Hausdorff metric; Schauder fixed point theorem; Urysohn-Volterra integral equation
UR - http://eudml.org/doc/271134
ER -

References

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  14. [14] P.V. Subrahmanyam and S.K. Sudarsanam, A note on fuzzy Volterra integral equations, Fuzzy Sets and Systems 81 (1996), 237-240. Zbl0884.45002

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