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Paper   IPM / M / 17629
School of Mathematics
  Title:   Pseudo-differential and characterization of generalized convex functions on Riemannian manifolds
  Author(s):  Elham Ghahraei
  Status:   Published
  Journal: Optimization
  Vol.:  73
  Year:  2024
  Pages:   113-133
  Supported by:  IPM
  Abstract:
A notion of pseudo-differential on Riemannian manifolds isconsidered and a subdifferential calculus related to this sub-differential is presented and then by definition of pseudo-Hessian, a version of Taylor’s expansion theorem is obtained.Moreover, characterizations of generalized convexity of con-tinuous functions are obtained in terms of the generalizedmonotonicity of pseudo-differentials.

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