Browsing Department of Mathematical Science by Issue Date

Browsing Department of Mathematical Science by Issue Date

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  • Further comments on the behavior of acceleration waves of arbitrary shape 
    Sharma, V.D.; Menon, V.V. (1980)
    Converging waves with nonzero initial critical amplitude are completely characterized. It is shown that for a converging wave a necessary and sufficient condition for the initial critical amplitude to be zero is that the ...
  • Characteristic wave fronts in magnetohydrodynamics 
    Menon, V.V.; Sharma, V.D. (1981-05)
    The influence of magnetic field on the process of steepening or flattening of the characteristic wave fronts in a plane and cylindrically symmetric motion of an ideal plasma is investigated. This aspect of the problem has ...
  • Approximating fixed points of some mappings 
    Bose, R.K.; Mukherjee, R.N. (1981-08)
    In a uniformly convex Banach space, Senter and Dotson, Jr., have given conditions under which certain types of iterates of a quasi-nonexpansive mapping converge to a fixed point of the mapping. Here we consider two types ...
  • On Steady Incompressible Three-Dimensional Hydromagnetic Flows 
    PRASAD, G.; SINGH, T. (1982-05-01)
    In this paper certain theorems of theoretical interest have been established with the help of the geometrical properties of Faraday's surface (which is spanned by the flow and field lines). These theorems shed light on ...
  • Generalisation of Leader''s Fixed Point Principle 
    SOM, TANMOY; MUKHERJEE, R. N. (1984-06)
    In J. Math. Anal. Appl. 61 (1977), 466–474, Leader has given a fixed point principle for an operator f: X → X, where X is a metric-space, based on conditional uniform equivalence of orbits. We generalize this principle for ...
  • A Note On Archwise Connected Seats And Functions 
    YADAV, SHRI RAM; MUKHERJEE, R.N. (1985-06)
    We introduce a new class of generalized arcwise connected functions and discuss their basic properties. Our generalization is illustrated by an example and an application is given for a mathematical programming problem ...
  • A note on arewise connected sets and functions 
    Yadav, S.R.; Mukherjee, R.N. (1985-06)
    We introduce a new class of generalized arcwise connected functions and discuss their basic properties. Our generalization is illustrated by an example and an application is given for a mathematical programming problem ...
  • An Existence Theorem For Optimal Control With Nonstandard Cost Functionals 
    MUKHERJEE, R.N.; PRASAD, SHIV (1987)
    An existence theorem for optimal control is obtained for a general nonstandard cost functional of fractional type in this work. As an application of our result we can derive an existence theorem for optimal control given ...
  • On the p-norm of the truncated n-dimensional Hilbert transform 
    Pandey, J.N.; Singh, O.P. (1991-04)
    It is shown that a bounded linear operator T from L�(Rn) to itself which commutes both with translations and dilatations is a finite linear combination of Hilbert-type transforms. Using this we show that the ρ-norm of the ...
  • Generalized convex duality for multiobjective fractional programs 
    Mukherjee, R.N. (1991-12)
    Egudo derived some duality theorems for Multi-objective programs using the concept of efficiency coupled with some generalized convexity assumptions on the objective and constraint functions. The main results of the present ...
  • Sensitivity analysis of generalized variational inequalities 
    Mukherjee, R.N.; Verma, H.L. (1992-01-01)
    Dafermos studied the sensitivity properties of the solutions of a variational inequality with regard to continuity and differentiability of such solutions with respect to a parameter λ. In the present paper we extend this ...
  • The fourier-bessel series representation of the pseudo-differential operator (−r−1D)v 
    Singh, O.P.; Pandey, J.N. (1992-08)
    For a certain Fréchet space F consisting of complex-valued C°° functions defined on / = (0, oo) and characterized by their asymptotic behaviour near the boundaries, we show that: (I) The pseudo-differential operator ...
  • On Efficiency and Duality for Multiobjective Variational Problems 
    SK mishra; R.N Mukheerjee (1994)
    The concept of efficiency (Pareto optimum) is used to formulate duality for multiobjective variational problems. Wolfe and Mond-Weir type duals are formulated. Under generalized (F, ρ) - convexity assumptions on the functions ...
  • Duality for Multiobjective Fractional Variational Problems 
    Mishra, S.K.; Mukherjee, R.N. (1994)
    A class of multiobjective fractional variational problems is considered and duals are formulated. Under concavity assumptions on the functions involved, duality theorems are proved through a parametric approach to relate ...
  • Characterization of Functions with Fourier Transform Supported on Orthants 
    Pandey, J.N.; Singh, O.P. (1994-07-15)
    We characterize the functions in Lp(Rn) and generalized functions in D’Lp (Rn), 1
  • On the pseudo-differential operator (-x-1D)ν 
    Singh, O.P. (1995-05-01)
    For a certain Frechet space F consisting of complex-valued C∞ even functions defined on R and rapidly decreasing as |x| → ∞, we show that if ν is any complex number, • The pseudo-differential operator (-) is an automorphism ...
  • Generalized Continuous Nondifferentiable Fractional Programming Problems with Invexity 
    Mishra, S.K.; Mukherjee, R.N. (1995-10-01)
    The concept of invexity has allowed the convexity requirements in a variety of mathematical programming problems to be weakened. We extend a number of Kuhn-Tucker type sufficient optimality criteria for a class of continuous ...
  • Generalized Invexity and Duality in Multiple Objective Variational Problems 
    Mukherjee, R.N.; Mishra, S.K. (1995-10-15)
    Multiple objective programming problems with the concept of weak minima are extended to multiple objective variational problems. A number of weak, strong, and converse duality theorems are given under a variety of generalized ...
  • Multiobjective programming with semilocally convex functions 
    Mukherjee, R.N.; Mishra, S.K. (Academic Press Inc., 1996-04-15)
  • On generalised convex multi-objective nonsmooth programming 
    Mishra, S.K.; Mukherjee, R.N. (Australian Mathematical Society, 1996-07)
    We extend the concept of V-pseudo-invexity and V-quasi-invexity of multi-objective programming to the case of nonsmooth multi-objective programming problems. The generalised subgradient Kuhn-Tucker conditions are shown to ...

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