Comparison Between Quasidifferentials and Exhausters
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DOI: 10.1007/s10957-017-1167-3
Abstract: Directional derivatives play one of the major roles in optimization. Optimality conditions can be described in terms of these objects. These conditions, however, are not constructive. To overcome this problem, one has to represent the… read more here.
Keywords: quasidifferentials exhausters; class functions; optimization; comparison quasidifferentials ... See more keywords
Jensen inequalities for P-class functions
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DOI: 10.1007/s10998-017-0232-x
Abstract: In this paper, we first give some characterizations for P-class functions. Then giving a Hermite–Hadamard type inequality for P-class functions, we prove equivalency of some significant metrics in normed linear spaces. We also obtain an… read more here.
Keywords: class; jensen inequalities; inequalities class; class functions ... See more keywords
Simulative Suzuki-Gerghaty Type Contraction With $\mathscr{C}$ -Class Functions and Applications
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DOI: 10.1109/access.2019.2917499
Abstract: The purpose of this paper is to introduce the notion of a Suzuki–Gerghaty type contractive mapping via the simulation functions along with the $\mathscr {C}$ -class functions and prove the existence of the fixed point… read more here.
Keywords: class functions; gerghaty type; suzuki gerghaty;
Some generalizations of the class of functions convex in one direction
Sign Up to like & getrecommendations! Published in 2017 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080217020196
Abstract: This paper concerns the extension of univalent conditions known for a ring domain to the case of a half-plane. We study the possibilities of applying Rahman and Brickman methods to functions analytic in the upper… read more here.
Keywords: functions convex; one direction; convex one; generalizations class ... See more keywords