javad izadi

In this paper, we introduce several regularity properties for the non-differentiable convex-like $C(T)$-valued functions which are defined on a Hilbert space.  The relationships with various regularity properties are investigated. All results are given in terms of the convex subdifferential. Non-trivial numerical examples are incorporated to demonstrate the validity of the results established in this paper. To the best of our knowledge, this paper is the first to investigate the regularity properties for the $C(T)$-valued functions, even in the differentiable case of finite-dimensional spaces.

‎‎In his study‎, ‎we define $\alpha$-$\psi$-contractive type mapping‎, ‎twisted $(\alpha,\beta)$-admissible mapping‎, ‎and twisted $(\alpha,\beta)$-contractive mapping on orthogonally metric space‎. ‎After that‎, ‎we will examine the fixed point theorem for $\alpha$-$\psi$-contractive mappings with preserving orthogonality‎. ‎For instance‎, ‎we demonstrate that there is an orthogonally fixed point for orthogonally $\alpha$-$\psi$-contractive type mapping‎, ‎but under these conditions‎, ‎it does not exist in the metric space‎. ‎Next‎, ‎we set up a common fixed point with orthogonally preserving for new concepts defined under different conditions in an orthogonally metric space‎. ‎Moreover‎, ‎we demonstrate through an example that a fixed point with orthogonally preserving exists for new concepts defined under different conditions‎. ‎Lastly‎, ‎we show that the defined concepts can be stable‎

Artificial intelligence is one of the technologies that has the ability to influence the political and military aspects of the national security of governments. According to a practical definition, artificial intelligence is the science of making machines that do things that would require intelligence if done by humans. This research, in the form of descriptive-analytical method and security levels, seeks to answer the question, what threats and opportunities does artificial intelligence have in the military and political aspects of Iran's national security? the results show that artificial intelligence has brought political and military threats and opportunities to Iran's national security. The most important military threats include increasing cyber attacks on nuclear facilities, cyber attacks on domestic institutions, espionage and assassination of people with self-propelled weapons. AI opportunities in the military include equipping missile and drone weapons, acquiring robotic weapons, and cyber deterrence. The most important threats of artificial intelligence in the political field include cyber attacks on radio and television and designing fake news to deceive public opinion. The most important opportunities to use artificial intelligence in this field include trying to influence elections and strategic confrontations in foreign policy.

In this paper‎, ‎some constraint qualifications ‎of‎ the Guignard type are defined for optimization problems with continuously differentiable objective functions and locally Lipschitz switching constraints‎. ‎Then‎, ‎a new type of stationary condition‎, ‎named parametric stationary condition‎, ‎is presented for the problem‎, ‎and it is shown that all the stationarity conditions in various papers can be deduced from it‎. ‎This paper can be considered as an extension of a recent article (see Kanzow, et al.) to the nonsmooth case‎. ‎Finally‎, ‎the article ends with two important examples‎. ‎The results of the article are formulated according to Clark subdifferential and using nonsmooth analysis methods.