English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B-p,r-invex functionswith respect to η and b. We introduce a new concept of nonconvex functions, called exponential B-p,r-invex functions. Base on the generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient solution. Furthermore,employing optimality conditions to perform Mond-Weir type duality model and prove the duality theoremsincluding weak duality, strong duality, and strict converse duality theorem under exponential B-p,r-invexity assumptions. Consequently, the optimal values of the primal problem and the Mond-Weir type duality problem have no duality gap under the framework of exponential B-p,r-invexity

journal of applied mathematics

Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>B</mml:mi><mml:mtext>-</mml:mtext><mml:mfenced separators="|"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:mfenced></mml:math>-Invexity

Nonsmooth Multiobjective Fractional Programming with Local Lipschitz ExponentialB-p,r-Invexity