Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in q -Uniformly Smooth Space

Rais Ahmad, Mohd Ishtyak, Arvind Kumar Rajpoot and Yuanheng Wang ()
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Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Mohd Ishtyak: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Arvind Kumar Rajpoot: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Yuanheng Wang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2022, vol. 10, issue 21, 1-17

Abstract: In this paper, we solve a system of mixed variational inclusions involving a generalized Cayley operator and the generalized Yosida approximation operator. An iterative algorithm is suggested to discuss the convergence analysis. We have shown that our system admits a unique solution by using the properties of q -uniformly smooth Banach space, and we discuss the convergence criteria for sequences generated by iterative algorithm. Two examples are constructed, and an application is provided.

Keywords: system; inclusion; operator; solution; convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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