Billy E Rhoades

Personal Home Page

http://www.math.indiana.edu/people/profile.phtml?id=rhoades

Articles in Scholarly Journals [Incomplete List]

  1. On the Cesáro Summability of Double Series
    Journal of Inequalities and Applications, vol. 2008, Article ID 257318, 4 pages, 2008
  2. Comments on the Rate of Convergence between Mann and Ishikawa Iterations Applied to Zamfirescu Operators
    Fixed Point Theory and Applications, vol. 2008, Article ID 387504, 3 pages, 2008
  3. T-Stability of Picard Iteration in Metric Spaces
    Fixed Point Theory and Applications, vol. 2008, Article ID 418971, 3 pages, 2008
  4. Characterization for the Convergence of Krasnoselskij Iteration for Non-Lipschitzian Operators
    International Journal of Mathematics and Mathematical Sciences, vol. 2008, Article ID 630589, 5 pages, 2008
  5. Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type
    Fixed Point Theory and Applications, vol. 2007, Article ID 54101, 9 pages, 2007
  6. A note on |A|k|A|k summability factors
    Nonlinear Analysis: Theory, Methods & Applications, vol. 66, no. 8, pp. 1879–1883, 2007
  7. Lower Bounds for Some Factorable Matrices
    International Journal of Mathematics and Mathematical Sciences, vol. 2007, Article ID 29096, 3 pages, 2007
  8. The question of equivalence for generalized Hausdorff matrices
    Journal of Mathematical Analysis and Applications, vol. 328, no. 1, pp. 414–428, 2007
  9. A Note on |A|k Summability Factors for Infinite Series
    Journal of Inequalities and Applications, vol. 2007, Article ID 86095, 8 pages, 2007
  10. Fixed Points of Weakly Compatible Maps Satisfying a General Contractive Condition of Integral Type
    Fixed Point Theory and Applications, vol. 2007, Article ID 17301, 9 pages, 2007
  11. Using infinite matrices to approximate functions of class Lip(α,p)Lip(α,p) using trigonometric polynomials
    Journal of Mathematical Analysis and Applications, vol. 326, no. 1, pp. 667–676, 2007
  12. The equivalence between the T-stabilities of Mann and Ishikawa iterations
    Journal of Mathematical Analysis and Applications, vol. 318, no. 2, pp. 472–475, 2006
  13. On |A|k summability factors
    Acta Mathematica Hungarica, vol. 112, no. 1-2, pp. 15–23, 2006
  14. A note on a paper of Hicks and Rhoades
    Nonlinear Analysis, vol. 65, no. 7, pp. 1411–1413, 2006
  15. Approximation of signals (functions) belonging to the weighted W(Lp,ξ(t))-class by linear operators
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 53538, 10 pages, 2006
  16. The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 54653, 5 pages, 2006
  17. Convergence theorems for I-nonexpansive mapping
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 63435, 4 pages, 2006
  18. Lower bounds for some factorable matrices
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 76135, 13 pages, 2006
  19. Cq-commuting maps and invariant approximations
    Fixed Point Theory and Applications, vol. 2006, Article ID 24543, 9 pages, 2006
  20. The convergence of an implicit mean value iteration
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 68369, 7 pages, 2006
  21. An approximation of solutions of variational inequalities
    Fixed Point Theory and Applications, vol. 2005, no. 3, pp. 377–388, 2005
  22. A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
    International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 15, pp. 2359–2364, 2005
  23. The convergence of mean value iteration for a family of maps
    International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 21, pp. 3479–3485, 2005
  24. A Tauberian theorem for a generalized power series method
    Applied Mathematics Letters, vol. 18, no. 10, pp. 1129–1133, 2005
  25. Spectra for Factorable Matrices on ℓp
    Integral Equations and Operator Theory, vol. 55, no. 1, pp. 111–126, 2005
  26. Spectra and Fine Spectra for Factorable Matrices
    Integral Equations and Operator Theory, vol. 53, no. 1, pp. 127–144, 2005
  27. A note on absolute summability factors
    Periodica Mathematica Hungarica, vol. 51, no. 1, pp. 53–60, 2005
  28. The equivalence between Mann?Ishikawa iterations and multistep iteration
    Nonlinear Analysis, vol. 58, no. 1-2, pp. 219–228, 2004
  29. The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps
    Journal of Mathematical Analysis and Applications, vol. 289, no. 1, pp. 266–278, 2004
  30. A summability factor theorem and applications
    Applied Mathematics and Computation, vol. 153, no. 1, pp. 155–163, 2004
  31. Local property of absolute weighted mean summability of Fourier series
    Applied Mathematics and Computation, vol. 153, no. 2, pp. 445–452, 2004
  32. A summability factor theorem for absolute summability involving almost increasing sequences
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 69, pp. 3793–3797, 2004
  33. The equivalence of Mann iteration and Ishikawa iteration for ψ-uniformly pseudocontractive or ψ-uniformly accretive maps
    International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 46, pp. 2443–2451, 2004
  34. Quadratic optimization of fixed points for a family of nonexpansive mappings in Hilbert space
    Fixed Point Theory and Applications, vol. 2004, no. 2, pp. 135–147, 2004
  35. Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability. II
    Acta Mathematica Hungarica, vol. 102, no. 4, pp. 279–286, 2004
  36. On the equivalence of Mann and Ishikawa iteration methods
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 7, pp. 451–459, 2003
  37. Two fixed-point theorems for mappings satisfying a general contractive condition of integral type
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 63, pp. 4007–4013, 2003
  38. On absolute normal double matrixsummability methods
    Glasnik Matematicki, vol. 38, no. 1, pp. 57–73, 2003
  39. The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators
    International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 42, pp. 2645–2651, 2003
  40. The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map
    Journal of Mathematical Analysis and Applications, vol. 283, no. 2, pp. 681–688, 2003
  41. On inclusion theorems for absolute matrix summability methods, corrections [J. Math. Anal. Appl. 238 (1999) 82–90]
    Journal of Mathematical Analysis and Applications, vol. 277, no. 1, pp. 375–378, 2003
  42. An equivalent reformulation of summability by weighted mean methods, revisited
    Linear Algebra and its Applications, vol. 349, no. 1-3, pp. 187–192, 2002
  43. On inclusion relations for absolute summability
    International Journal of Mathematics and Mathematical Sciences, vol. 32, no. 3, pp. 129–138, 2002
  44. Some theorems on weakly contractive maps
    Nonlinear Analysis, vol. 47, no. 4, pp. 2683–2693, 2001
  45. Journal of Computational Analysis and Applications, vol. 2, no. 1, pp. 1–10, 2000
  46. A general existence principle for fixed point theorems in D-metric spaces
    International Journal of Mathematics and Mathematical Sciences, vol. 23, no. 7, pp. 441–448, 2000
  47. Fixed point theory in symmetric spaces with applications to probabilistic spaces
    Nonlinear Analysis, vol. 36, no. 3, pp. 331–344, 1999
  48. Inclusion Theorems for Absolute Matrix Summability Methods
    Journal of Mathematical Analysis and Applications, vol. 238, no. 1, pp. 82–90, 1999
  49. Proceedings of the American Mathematical Society, vol. 126, no. 06, pp. 1769–1783, 1998
  50. An equivalent reformulation of summability by weighted mean methods
    Linear Algebra and its Applications, vol. 268, pp. 171–181, 1998
  51. A fixed point theorem for non-self set-valued mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 20, no. 1, pp. 9–12, 1997
  52. A fixed point theorem for generalized metric spaces
    International Journal of Mathematics and Mathematical Sciences, vol. 19, no. 3, pp. 457–460, 1996
  53. Approximation by weighted means of Walsh-Fourier series
    International Journal of Mathematics and Mathematical Sciences, vol. 19, no. 1, pp. 1–8, 1996
  54. Convergence of an Ishikawa-Type Iteration Scheme for a Generalized Contraction Volume185,/Number 2 (1994), pages 350–355
    Journal of Mathematical Analysis and Applications, vol. 199, no. 2, p. 636, 1996
  55. Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability
    Acta Mathematica Hungarica, vol. 66, no. 1-2, pp. 105–111, 1995
  56. A common fixed point theorem for a sequence of fuzzy mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 18, no. 3, pp. 447–449, 1995
  57. Commutants for Some Classes of Hausdorff Matrices
    Proceedings of the American Mathematical Society, vol. 123, no. 9, p. 2745, 1995
  58. Fixed Point Iterations for Certain Nonlinear Mappings
    Journal of Mathematical Analysis and Applications, vol. 183, no. 1, pp. 118–120, 1994
  59. Convergence of an Ishikawa-Type Iteration Scheme for a Generalized Contraction
    Journal of Mathematical Analysis and Applications, vol. 185, no. 2, pp. 350–355, 1994
  60. Sharp upper bounds for the norms of certain bounded operators on lp
    Linear and Multilinear Algebra, vol. 36, no. 4, pp. 251–253, 1994
  61. Some fixed point theorems for compatible maps
    International Journal of Mathematics and Mathematical Sciences, vol. 16, no. 3, pp. 417–428, 1993
  62. On Generalizations of the Meir-Keeler Type Contraction Maps: Corrections
    Journal of Mathematical Analysis and Applications, vol. 180, no. 1, pp. 221–222, 1993
  63. Fixed points for pairs of mappings in d complete topological spaces
    International Journal of Mathematics and Mathematical Sciences, vol. 16, no. 2, pp. 259–266, 1993
  64. Fixed points and continuity for multivalued mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 15, no. 1, pp. 15–30, 1992
  65. Summability of double Fourier series by N�rlund methods at a point
    Journal of Mathematical Analysis and Applications, vol. 167, no. 1, pp. 203–215, 1992
  66. An inclusion relation between Ces�ro and N�rlund matrices for absolute summability
    Journal of Mathematical Analysis and Applications, vol. 170, no. 1, pp. 171–195, 1992
  67. Fixed point Ishikawa iterations
    Journal of Mathematical Analysis and Applications, vol. 170, no. 2, pp. 600–606, 1992
  68. The point spectra for certain classes of operators in B(? p )
    Integral Equations and Operator Theory, vol. 14, no. 5, pp. 747–753, 1991
  69. Some fixed point iteration procedures
    International Journal of Mathematics and Mathematical Sciences, vol. 14, no. 1, pp. 1–16, 1991
  70. On generalizations of the Meir-Keeler type contraction maps
    Journal of Mathematical Analysis and Applications, vol. 146, no. 2, pp. 482–494, 1990
  71. Lower bounds for some matrices, II
    Linear and Multilinear Algebra, vol. 26, no. 1, pp. 49–58, 1990
  72. The fine spectra for weighted mean operators in B(l P)
    Integral Equations and Operator Theory, vol. 12, no. 1, pp. 82–98, 1989
  73. Square roots for Hausdorff operators
    Integral Equations and Operator Theory, vol. 11, no. 2, pp. 292–296, 1988
  74. Matrix summability of Fourier series based on inclusion theorems, II
    Journal of Mathematical Analysis and Applications, vol. 130, no. 2, pp. 525–537, 1988
  75. Fixed point iterations of generalized nonexpansive mappings
    Journal of Mathematical Analysis and Applications, vol. 130, no. 2, pp. 564–576, 1988
  76. On common fixed points of compatible mappings in metric and Banach spaces
    International Journal of Mathematics and Mathematical Sciences, vol. 11, no. 2, pp. 375–392, 1988
  77. Lower bounds for some matrices
    Linear and Multilinear Algebra, vol. 20, no. 4, pp. 347–352, 1987
  78. Approximation by N�rlund means of double Fourier series for Lipschitz functions
    Journal of Approximation Theory, vol. 50, no. 4, pp. 341–358, 1987
  79. Approximation by Nörlund means of double fourier series to continuous functions in two variables
    Constructive Approximation, vol. 3, no. 1, pp. 281–296, 1987
  80. Some fixed point theorems for Hardy-Rogers type mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 7, no. 1, pp. 75–87, 1984
  81. Coincidence theorems for some multivalued mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 7, no. 3, pp. 429–434, 1984
  82. A generalization of some fixed point theorems of K. M. Ghosh
    International Journal of Mathematics and Mathematical Sciences, vol. 5, no. 1, pp. 203–203, 1982
  83. Hausdorff Matrices as Bounded Operators Over l
    Proceedings of the American Mathematical Society, vol. 78, no. 2, p. 210, 1980
  84. The convergence of matrix transforms for certain Markov chains
    Stochastic Processes and their Applications, vol. 9, no. 1, pp. 85–93, 1979
  85. Contraction Type Mappings on a 2-Metric Space
    Mathematische Nachrichten, vol. 91, no. 1, pp. 151–155, 1979
  86. Subnormal Generalized Hausdorff Operators
    Proceedings of the American Mathematical Society, vol. 66, no. 2, p. 261, 1977
  87. A Comparison of Various Definitions of Contractive Mappings
    Transactions of the American Mathematical Society, vol. 226, p. 257, 1977
  88. Comments on two fixed point iteration methods
    Journal of Mathematical Analysis and Applications, vol. 56, no. 3, pp. 741–750, 1976
  89. Hausdorff matrices as bounded operators overl p
    Mathematische Zeitschrift, vol. 138, no. 2, pp. 173–181, 1974
  90. Fixed Point Iterations Using Infinite Matrices
    Transactions of the American Mathematical Society, vol. 196, p. 161, 1974
  91. On the total inclusion for N�rlund methods of summability. II
    Mathematische Zeitschrift, vol. 113, no. 2, pp. 171–172, 1969
  92. Triangular summability methods and the boundary of the maximal group
    Mathematische Zeitschrift, vol. 105, no. 4, pp. 284–290, 1968
  93. On the total inclusion for N�rlund methods of summability
    Mathematische Zeitschrift, vol. 96, no. 3, pp. 183–188, 1967
  94. Size of convergence domains for known Hausdorff prime matrices
    Journal of Mathematical Analysis and Applications, vol. 19, no. 3, pp. 457–468, 1967
  95. A Sufficient Condition for Total Monotonicity: Corrections
    Transactions of the American Mathematical Society, vol. 127, no. 2, p. 356, 1967
  96. Some Totally Equivalent Matrices, II
    The American Mathematical Monthly, vol. 72, no. 2, p. 158, 1965
  97. Some Hausdorff Matrices Not of Type M
    Proceedings of the American Mathematical Society, vol. 15, no. 3, p. 361, 1964
  98. Hausdorff Summability Methods, Addendum
    Transactions of the American Mathematical Society, vol. 106, no. 2, p. 254, 1963
  99. A Sufficient Condition for Total Monotonicity
    Transactions of the American Mathematical Society, vol. 107, no. 2, p. 309, 1963
  100. On products of power series
    Monatshefte f�r Mathematik, vol. 67, no. 2, pp. 125–128, 1963
  101. A method of Hausdorff summability
    Mathematische Zeitschrift, vol. 81, no. 1, pp. 62–75, 1963
  102. Total comparison among some totally regular Hausdorff methods. II
    Mathematische Zeitschrift, vol. 80, no. 1, pp. 1–3, 1962
  103. Some Totally Equivalent Matrices
    The American Mathematical Monthly, vol. 69, no. 6, p. 523, 1962
  104. Hausdorff Summability Methods
    Transactions of the American Mathematical Society, vol. 101, no. 3, p. 396, 1961
  105. On Forming Partial Differential Equations
    The American Mathematical Monthly, vol. 66, no. 6, p. 473, 1959
  106. Total comparison among some totally regular Hausdorff methods
    Mathematische Zeitschrift, vol. 72, no. 1, pp. 463–466, 1959