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  Volume 6, Issue 4, Article 102
 
On Strongly Generalized Preinvex Functions

    Authors: Muhammad Aslam Noor, Khalida Inayat Noor,  
    Keywords: Preinvex functions, $eta $-monotone operators, Invex functions.  
    Date Received: 20/08/05  
    Date Accepted: 07/09/05  
    Subject Codes:

26D07, 26D10, 39B62.

 
    Editors: Themistocles M. Rassias,  
 
    Abstract:

In this paper, we define and introduce some new concepts of strongly $ varphi $-preinvex ($ varphi $-invex) functions and strongly $ varphi eta $ -monotone operators. We establish some new relationships among various concepts of $ varphi $-preinvex ($ varphi $-invex) functions. As special cases, one can obtain various new and known results from our results. Results obtained in this paper can be viewed as refinement and improvement of previously known results.

         
       
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