The concept of this paper helps resolve an ER schema into an appropriate relational Data Description Language (herein standard SQL statements) while considering all the inherent complexity of such a schema. The algorithm resolves all the relationships between the concerned entities (even weak ones), their associated keys – primary and foreign, attributes – simple, composite and multivalued and ...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

Let K be a multivalued map from the interval [0, 1] to R. On its graph, denoted by Gr(K), another multivalued map F is defined. Its values are closed subsets of R. The map F , called an orientor field, gives rise to a differential inclusion ẋ(t) ∈ F (t, x(t)). The inclusion is called viable, if for every (t0, x0) ∈ Gr(K) there is a global absolutely continuous forward trajectory x : [t0, 1] → R...

We consider a multivalued equation of the form Ay + ∂φ(y) 3 f in a real Hilbert space, where A is a linear operator and ∂φ represents the (Clarke) subdifferential of the function φ. We prove existence and uniqueness results of the solution by using the control variational method. The main idea in this method is to minimize the energy functional associated to the nonlinear equation by arguments ...

in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

In this short note we show that the outer norm of a sublinear mapping F, acting between Banach spaces X and Y and with domF = X, is finite only if F is single-valued. This implies in particular that for a sublinear multivalued mapping the inner and the outer norms cannot be finite simultaneously. AMS 2000 Subject Classification: 49J53, 47H04, 54C60.

Some new results on the existence of coincidence points for multivalued f -contractive maps have been obtained. Our results improve and extend various known results existing in the literature.

and Applied Analysis 3 Theorem 4 (see [21, 22]). Let X,Y be two Banach spaces satisfy the previous assumptions, and let {U(t, τ)} be amultivalued process onX andY, respectively. Assume that {U(t, τ)} is upper semicontinuous or weak upper semicontinuous on Y. If for fixed t ⩾ τ, τ ∈ R, U(t, τ) maps compact subsets of X into bounded subsets ofP(X), then U(t, τ) is norm-to-weak upper semicontinuou...