Generalized Yosida inclusion problem involving multi-valued operator with XOR operation-Reference-Cited by-同舟云学术

Generalized Yosida inclusion problem involving multi-valued operator with XOR operation

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Iqbal Javid¹,Wang Yuanheng²,Rajpoot Arvind Kumar³,Ahmad Rais³

Affiliation:

1. Department of Mathematics, Baba Ghulam Shah Badshah University , Rajouri 185131 , Jammu and Kashmir , India

2. Department of Mathematics, Zhejiang Normal University , Jinhua 321004 , China

3. Department of Mathematics, Aligarh Muslim University , Aligarh 202002 , India

Abstract

Abstract In this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is equivalent to a fixed point equation. We have proved that the generalized Yosida approximation operator is Lipschitz continuous. Finally, we prove an existence and convergence result for our problem.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2024-0011/pdf

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