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Volume 10
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10.3390/math10214067
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Article

Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces

by
Faizan Ahmad Khan
1,*,
Mohd Iqbal
2,
Tirth Ram
2,* and
Hamid I. A. Mohammed
1,3
1
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
2
Department of Mathematics, University of Jammu, Jammu 180006, India
3
Department of Mathematics, University of Bahri, Khartoum 11111, Sudan
*
Authors to whom correspondence should be addressed.
Mathematics 2022, 10(21), 4067; https://doi.org/10.3390/math10214067
Submission received: 2 October 2022 / Revised: 22 October 2022 / Accepted: 26 October 2022 / Published: 1 November 2022
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Abstract

This paper deals with the study of mixed variational-like inclusions involving Yosida approximation operator (MVLIYAO) and η-proximal mapping in Banach spaces. It is investigated that (MVLIYAO) is equivalent to fixed point problems in Banach spaces. Using this equivalence, a new iterative algorithm is proposed to find the solution of (MVLIYAO). A numerical example is provided to support our main result by using the MATLAB program.
Keywords: mixed variational-like inclusion; Yosida approximation operator; η-proximal operator; iterative algorithm mixed variational-like inclusion; Yosida approximation operator; η-proximal operator; iterative algorithm

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MDPI and ACS Style

Khan, F.A.; Iqbal, M.; Ram, T.; Mohammed, H.I.A. Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces. Mathematics 2022, 10, 4067. https://doi.org/10.3390/math10214067

AMA Style

Khan FA, Iqbal M, Ram T, Mohammed HIA. Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces. Mathematics. 2022; 10(21):4067. https://doi.org/10.3390/math10214067

Chicago/Turabian Style

Khan, Faizan Ahmad, Mohd Iqbal, Tirth Ram, and Hamid I. A. Mohammed. 2022. "Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces" Mathematics 10, no. 21: 4067. https://doi.org/10.3390/math10214067

APA Style

Khan, F. A., Iqbal, M., Ram, T., & Mohammed, H. I. A. (2022). Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces. Mathematics, 10(21), 4067. https://doi.org/10.3390/math10214067

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