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Imran Ali, Mohd Ishtyak, Javid Iqbal, Yuanheng Wang, Rais Ahmad. INERTIAL EXTRAPOLATION SCHEME FOR SYSTEM OF VARIATIONAL INCLUSIONS USING GENERALIZED YOSIDA AND CAYLEY OPERATORS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1398-1412. doi: 10.11948/20240232
Citation: Imran Ali, Mohd Ishtyak, Javid Iqbal, Yuanheng Wang, Rais Ahmad. INERTIAL EXTRAPOLATION SCHEME FOR SYSTEM OF VARIATIONAL INCLUSIONS USING GENERALIZED YOSIDA AND CAYLEY OPERATORS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1398-1412. doi: 10.11948/20240232
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INERTIAL EXTRAPOLATION SCHEME FOR SYSTEM OF VARIATIONAL INCLUSIONS USING GENERALIZED YOSIDA AND CAYLEY OPERATORS

  • 1.

    Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, India

  • 2.

    Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India

  • 3.

    Department of Mathematics, Baba Ghulam Shah Badshah University, Rajouri 185234, India

  • 4.

    School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

  • 5.

    Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

    Abstract

  • The aim of this work is to study a system of variational inclusions involving generalized Yosida and Cayley operators through inertial extrapolation scheme in real Banach space. To obtain faster convergence of the sequences generated by algorithm, we use one inertial extrapolation scheme, although we have established some more iterative schemes. To achieve our goal, we prove an important Lemma ensuring the convergence of sum of two sequences. We provide a numerical example.

    MSC: 65J15, 47J25, 65K15
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