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Research Article | Open Access

Convergence analysis of general parallel S-iteration process for system of mixed generalized Cayley variational inclusions

Iqbal Ahmad1, Faizan Ahmad Khan2( ), Arvind Kumar Rajpoot3( ), Mohammed Ahmed Osman Tom4, Rais Ahmad3
Department of Mechanical Engineering, College of Engineering, Qassim University, Buraidah 51452, Al-Qassim, Saudi Arabia
Computational & Analytical Mathematics and Their Applications Research Group, Faculty of Science, University of Tabuk, Tabuk-71491, Saudi Arabia
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Department of Mathematics, University of Bahri, Khartoum 11111, Sudan
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Abstract

This work is concentrated on the study of a system of mixed generalized Cayley variational inclusions. Parallel Mann iteration process is defined in order to achieve the solution. We define an altering point problem which is equivalent to our system and then we construct general parallel S-iteration process. Finally, we discuss convergence criteria and provide an example.

Keywords

convergenceLipschitzprocessCayleysolution
CLC number: 47H09, 90C33

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 20259-20274
DOI: 10.3934/math.20221109

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Ahmad I, Khan FA, Rajpoot AK, et al. Convergence analysis of general parallel S-iteration process for system of mixed generalized Cayley variational inclusions. AIMS Mathematics, 2022, 7(11): 20259-20274. https://doi.org/10.3934/math.20221109

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Received: 17 July 2022
Revised: 29 August 2022
Accepted: 08 September 2022
Published: 15 November 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)