Browsing Department of Mathematical Science by Author "Mukherjee, R.N."

Browsing Department of Mathematical Science by Author "Mukherjee, R.N."

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  • 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 ...
  • Composite nonsmooth multiobjective programs with V-ρ-invexity 
    Reddy, L.V.; Mukherjee, R.N. (1999-07-15)
    In this paper, some problems consisting of nonsmooth composite multiobjective programs have been treated with V-ρ-invexity type of conditions. In particular, we prove the generalized Karush-Kuhn-Tucker sufficient optimality ...
  • 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 ...
  • 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 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 ...
  • 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 ...
  • Generalized pseudoconvex functions and multiobjective programming 
    Mukherjee, R.N. (1997-04-01)
    In a recent work, cited in the Introduction, a concept of generalized pseudoconvexity was used to obtain optimality results in nonlinear programming. In the present work we give sufficient optimality conditions, in the ...
  • Mixed type duality for multiobjective variational problems 
    Mukherjee, R.N.; Rao, C.P. (Academic Press Inc., 2000-12-15)
    The concept of mixed-type duality has been extended to the class of multiobjective variational problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual ...
  • Multiobjective Control Problem with V-Invexity 
    Mishra, S.K.; Mukherjee, R.N. (1999-07-01)
    A multiobjective control problem is considered. Duality results are obtained for Mond-Weir-type duals under V-invexity assumptions and their generalizations.
  • Multiobjective programming with semilocally convex functions 
    Mukherjee, R.N.; Mishra, S.K. (Academic Press Inc., 1996-04-15)
  • 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 ...
  • 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 ...
  • 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 ...
  • Some results on mathematical programming with generalized ratio invexity 
    Reddy, L.V.; Mukherjee, R.N. (1999-12-15)
    In this paper, a generalized ratio invexity concept has been applied for single objective fractional programming problems. A concept which has been invoked seems to be more general than the one used earlier by Khan and ...

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