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| Generalized Variational Inclusion Problem Involving Averaged Operator and Cayley Operator |
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| KeyWord:Cayley operator, averaged operator, variational inclusion, resolved operator |
| Author Name | Affiliation | | Mohd. Falahat Khan | Department of Mathematics, Aligarh Muslim University, Aligarh, U.P., India | | Syed Shakaib Irfan | Department of Mathematics, Aligarh Muslim University, Aligarh, U.P., India | | Rais Ahmad | Department of Mathematics, Aligarh Muslim University, Aligarh, U.P., India |
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| Abstract: |
| In this paper, we consider and study a variational inclusion problem involving averaged and Cayley operators in the context of a Hilbert space. It is shown that our problem is equivalent to a fixed-point equation. We define an iterative algorithm based on a fixed-point formulation to obtain the solution. Our result is supported by a numerical example, computation tables, and a convergence graph are also provided. |
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