Pure and Applied Mathematics Journal

Volume 9, Issue 4, August 2020

  • An Accelerated Accuracy-enhanced Randomized Singular Value Decomposition for Factorizing Matrices with Low-rank Structure

    Joseph Roger Arhin, Francis Sam, Kenneth Coker, Toufic Seini

    Issue: Volume 9, Issue 4, August 2020
    Pages: 64-73
    Received: Jun. 24, 2020
    Accepted: Jul. 13, 2020
    Published: Jul. 28, 2020
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    Abstract: Big data has in recent years gained ground in many scientific and engineering problems. It seems to some extent prohibitive for traditional matrix decomposition methods (i.e. QR, SVD, EVD, etc.) to handle such large-scale problems involving data matrix. Many researchers have developed several algorithms to decompose such big data matrices. An accur... Show More
  • Common Fixed Point for Two Multivalued Mappings on Proximinal Sets in Regular Modular Space

    Nashat Faried, Hany Abd-El Ghaffar, Salwa Hamdy

    Issue: Volume 9, Issue 4, August 2020
    Pages: 74-83
    Received: Jul. 09, 2020
    Accepted: Aug. 03, 2020
    Published: Aug. 10, 2020
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    Abstract: In 2010, Chistyakov, V. V., defined the theory of modular metric spaces. After that, in 2011, Mongkolkeha, C. et. al. studied and proved the new existence theorems of a fixed point for contraction mapping in modular metric spaces for one single-valued map in modular metric space. Also, in 2012, Chaipunya, P. introduced some fixed point theorems for... Show More