New Techniques for Solutions of Fuzzy Volterra Integral Equations via Soft Set-Valued Maps

Mohammed Shehu Shagari () and Akbar Azam
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Mohammed Shehu Shagari: Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
Akbar Azam: ��Department of Mathematics, Grand Asian University, Sialkot, 7KM, Pasrur Road, 51310 Sialkot, Pakistan

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 349-368

Abstract: In this paper, new generalized concepts of set-valued maps under the name soft set-valued maps are established. The presented results herein are soft set extensions of various existing fuzzy set-valued and crisp multivalued fixed point theorems. Examples are provided to authenticate the hypotheses of our obtained results. Moreover, our main result is applied to establish conditions for existence of solutions to fuzzy Volterra integral equations.

Keywords: Soft set-valued map; e-Soft fixed point; parameter set; fuzzy number; fuzzy Volterra integral equation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500114

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