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Generalization of preinvex and B-vex functions

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Abstract

A class of functions called B-preinvex functions is introduced by relaxing the definitions of preinvex and B-vex functions. Examples are given to show that there exist functions which are B-preinvex but not preinvex or B-vex or quasipreinvex. Some of the properties of B-preinvex functions are obtained.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi, India

    S. K. Suneja (Senior Lecturer)

  2. Department of Mathematics, St. Lawrence University, Canton, New York

    C. Singh (Professor)

  3. Department of Actuarial and Management Sciences, University of Manitoba, Winnipeg, Manitoba, Canada

    C. R. Bector (Professor)

Authors
  1. S. K. Suneja
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  2. C. Singh
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  3. C. R. Bector
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Additional information

Communicated by R. A. Tapia

The contribution of this author was made partially at University of Manitoba and partially at St. Lawrence University during the summer of 1990. Support for the visit to St. Lawrence University was made possible under the GTE/SLU Visiting Scholars Grant.

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Suneja, S.K., Singh, C. & Bector, C.R. Generalization of preinvex and B-vex functions. J Optim Theory Appl 76, 577–587 (1993). https://doi.org/10.1007/BF00939384

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  • DOI: https://doi.org/10.1007/BF00939384

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