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ISSN : 1226-0657
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Vol.18 No.1
Abstract
We define a quarter symmetric non-metric connection in a nearly Ken-motsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a quarter symmetric non-metric connection. Moreover, we discuss the integrability of the distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a quarter symmetric non-metric connection.
Abstract
In this paper, we introduce the new concept of <TEX>${\omega}-D^*$</TEX>-distance on a <TEX>$D^*$</TEX>-metric space and prove a non-convex minimization theorem which improves the result of Caristi[1], <TEX>${\'{C}}iri{\'{c}}$</TEX>[2], Ekeland[4], Kada et al.[5] and Ume[8, 9].
Abstract
Stone's theorem states that "A bounded linear operator A is infinitesimal generator of a <TEX>$C_0$</TEX>-group of unitary operators on a Hilbert space H if and only if iA is self adjoint". In this paper we establish a generalization of Stone's theorem in the framework of Hilbert <TEX>$C^*$</TEX>-modules.
Abstract
Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy commutative ideal of a BCK-algebra is introduced. Relations between falling fuzzy commutative ideals and falling fuzzy ideals are investigated.
Abstract
In this paper, we study the geometry of transversal half lightlike sub-manifolds of an indefinite Sasakian manifold. The main result is to prove three characterization theorems for such a transversal half lightlike submanifold. In addition to these main theorems, we study the geometry of totally umbilical transversal half lightlike submanifolds of an indefinite Sasakian manifold.
Abstract
In the present paper, we obtain integral inequalities involving the Kurzweil-Stieltjes integrals which generalize Gronwall-Bellman inequality and we use the inequalities to verify existence of solutions of a certain integral equation. Such inequalities will play an important role in the study of impulsively perturbed systems [9].
Abstract
Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by <TEX>$-K{\leq}0$</TEX> and (N, <TEX>$\bar{g}$</TEX>) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : <TEX>$M{\times}[0,{\infty}){\rightarrow}N$</TEX> be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.
Abstract
The existence of T-periodic solutions for a general class of p-Laplacian equations is investigated. By using coincidence degree theory, some existence and uniqueness results, which generalize some earlier works on this topic, are presented.