IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2012y2012i1n863450.html

Regularized Mixed Variational‐Like Inequalities

Author

Listed:
  • Muhammad Aslam Noor
  • Khalida Inayat Noor
  • Saira Zainab
  • Eisa Al-Said

Abstract

We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational‐like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple as compared with other methods. Our results represent a significant refinement of the previously known results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Saira Zainab & Eisa Al-Said, 2012. "Regularized Mixed Variational‐Like Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:863450
    DOI: 10.1155/2012/863450
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/863450
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/863450?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yonghong Yao & Muhammad Aslam Noor & Yeong-Cheng Liou & Shin Min Kang, 2012. "Iterative Algorithms for General Multivalued Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "On New Proximal Point Methods for Solving the Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Yonghong Yao & Muhammad Aslam Noor & Yeong-Cheng Liou & Shin Min Kang, 2012. "Iterative Algorithms for General Multivalued Variational Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, December.
    4. Yakov Alber & Irina Ryazantseva, 2006. "Nonlinear Ill-posed Problems of Monotone Type," Springer Books, Springer, number 978-1-4020-4396-3, October.
    5. Muhammad Aslam Noor & Khalida Inayat Noor & Zhenyu Huang & Eisa Al-Said, 2012. "Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, January.
    6. Muhammad Aslam Noor & Khalida Inayat Noor & Zhenyu Huang & Eisa Al-Said, 2012. "Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "On New Proximal Point Methods for Solving the Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Muhammad Aslam Noor, 2012. "Some Aspects of Extended General Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Jong Soo Jung, 2012. "Some Algorithms for Finding Fixed Points and Solutions of Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Some New Classes of Extended General Mixed Quasi‐Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Muhammad Aslam Noor & Khalida Inayat Noor, 2012. "Existence Results for General Mixed Quasivariational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. M. De la Sen & E. Karapinar, 2013. "Best Proximity Points of Generalized Semicyclic Impulsive Self‐Mappings: Applications to Impulsive Differential and Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Chaichana Jaiboon & Poom Kumam, 2012. "Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed‐Point Problems of a Countable Family of Nonexpansive Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. M. De la Sen, 2013. "Some Results on Fixed and Best Proximity Points of Precyclic Self‐Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    8. Xionghua Wu & Yeong-Cheng Liou & Zhitao Wu & Pei-Xia Yang, 2012. "Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Ting-jian Xiong & Heng-you Lan, 2014. "Iterative Algorithms for New General Systems of Set‐Valued Variational Inclusions Involving (A, η)‐Maximal Relaxed Monotone Operators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    10. M. De la Sen, 2013. "Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self‐Mappings with a Partial Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Muhammad Aslam Noor, 2012. "Parametric Extended General Mixed Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    12. Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    13. Peixia Yang & Yonghong Yao & Yeong-Cheng Liou & Rudong Chen, 2012. "Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    14. Yeong-Cheng Liou & Yonghong Yao & Chun-Wei Tseng & Hui-To Lin & Pei-Xia Yang, 2012. "Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    15. Rabian Wangkeeree & Pakkapon Preechasilp, 2012. "New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi‐Monotone Mappings in Banach Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    16. Ning Su & Li Zhang, 2014. "Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    17. Mathew O. Aibinu & Surendra C. Thakur & Sibusiso Moyo, 2020. "Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
    18. Gabriella Colajanni & Patrizia Daniele & Anna Nagurney & Ladimer S. Nagurney & Daniele Sciacca, 2023. "A three-stage stochastic optimization model integrating 5G technology and UAVs for disaster management," Journal of Global Optimization, Springer, vol. 86(3), pages 741-780, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:863450. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.