A Nonlinear System of Generalized Ordered XOR-Inclusion Problem in Hilbert Space with S -Iterative Algorithm

Imran Ali, Haider Abbas Rizvi, Ramakrishnan Geetha and Yuanheng Wang ()
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Imran Ali: Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, Andhra Pradesh, India
Haider Abbas Rizvi: Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah 211, Oman
Ramakrishnan Geetha: Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Krishnankoil 626126, Tamil Nadu, India
Yuanheng Wang: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2023, vol. 11, issue 6, 1-20

Abstract: In this article, a nonlinear system of generalized ordered XOR-inclusion problems in Hilbert space is introduced and studied. Initially, we define the resolvent operator related to the ( α , λ ) -XOR-weak-ANODD multivalued mapping. Using the fixed point technique, we demonstrate the results of existence. In order to make the suggested system more realistic, we create the S-iterative algorithm and demonstrate that the sequence generated through this technique strongly converges with the proposed system’s solution. One example is provided in support of the existence result as well.

Keywords: resolvent operator; S-iteration; system; XOR- inclusion; Hilbert space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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