Volume 16, Issue 2

A multiobjective programming problem containing support functions is considered. Wolfe and Mond–Weir type vector duals to this problem are constructed and various duality results are validated under invexity and generalized invexity assumptions. Special cases are generated from these results.

A slightly modified version of the celebrated Nirenberg problem concerning expanding maps is considered. A positive answer is given for a type of lattice-expansive operators in discrete Hilbert lattices. Our approach is motivated by the study of the infinite systems of nonlinear equations.

In this paper, we formulate and discuss a fairly large number of sets of global parametric sufficient efficiency criteria under various generalized ( η, ρ )-invexity assumptions, and prove a semiinfinite version of a well-known second-order sufficiency result for a semiinfinite multiobjective fractional programming problem.

The main object of the present paper is to investigate some interesting properties of certain meromorphically multivalent functions associated with the extended multiplier transformation.

This article concerns an existence result for Floquet boundary value problems associated to semilinear differential inclusions with Carathéodory right hand side in a Hilbert space. We apply a continuation principle and we require a sharp (i.e., localized on the boundary) transversality condition. We give an application to a nonlinear partial differential inclusion with periodic conditions.

In this note we derive a necessary and sufficient condition for a compact convex set of linear compact operators acting in a complex Hilbert space to have the spectrum outside a prescribed closed convex subset of the complex plane.

In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.

The main objective of the present paper is to study some basic qualitative properties of solutions of a certain nonlinear integrodifferential equation on time scales. The tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain inequality with explicit estimate on time scales.

In this paper, we will establish some oscillation criteria for the third-order neutral delay differential equations ( x ( t ) – a ( t ) x ( τ ( t )))‴ + p ( t ) x ( δ ( t )) = 0, t ≥ t 0 . To the best of our knowledge nothing is known regarding the qualitative behavior of these equations. Our results in this paper extend the results given in [Hanan, Oscillation criteria for third order differential equations, Pacific J. Math. 11 (1961) 919–944]. Some examples are considered to illustrate the main results.

The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.