Jun 15, 2023 · Second-order characterization of convex mappings in Banach spaces and its applications. Published: 15 June 2023. Volume 86, pages 1005–1023 ...

Jun 15, 2023 · Second-order characterization of convex mappings in Banach spaces and its applications. Authors: Mohammad Taghi Nadi. Mohammad Taghi Nadi.

The purpose of this paper is to characterize the conditions for the convergence of the iterative scheme in the sense of Alghamdi et al. [The implicit midpoint ...

"Second-order characterization of convex mappings in Banach spaces and its applications," Journal of Global Optimization, Springer, vol. 86(4), pages 1005-1023, ...

Jun 15, 2023 · We introduce lower and upper semi-continuity of a map to the Banach space c₀(λ) for an infinite cardinal λ. We prove that the following ...

Second-order characterization of convex mappings in Banach spaces and its applications ... convex function is a sufficient condition for its convexity. As ...

Second-order characterization of convex mappings in Banach spaces and its applications · M. NadiJ. Zafarani. Mathematics. Journal of Global Optimization. 2023.

We show that the positive semi-definiteness of the regular or limiting (Mordukhovich) second-order subdifferential of an approximately convex function is a ...

Some developments of the second-order characterizations of convex functions are investigated by using the coderivative of the subdifferential mapping.

We present a second order differentiability theory for convex func- tions on Banach spaces. 1. Introduction. The classical theorem of Alexandrov states that a ...