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But Judge Fitzwater sided with the state, which argued that it has no control over the location of apartments and that the approval of subsidies is based on a strict point system that is blind to race.

Assume that − ∞ < a < λ 1 < b < λ 2 and s > 0. Then (1.1) has the third weak solution which is a strict point of minimum of I a, b ( u, s ).

Lemma 2.5 Assume that − ∞ < a < λ 1 < b < λ 2 and s > 0. Then there exists a small open neighborhood B of v 0 in V such that v 0 is a strict local point maximum of I ˜ ( v, s ) and there exists a small open neighborhood D of v 1 in V such that v 1 is a strict point of minimum of I ˜ ( v, s ), where v 0 = s ϕ 1 b − λ 1 is a positive solution and v 1 = s ϕ 1 a − λ 1 is a negative solution of (1.1).

From the strict point of view of biophysics, an effect of RF fields emitted by current cellular phones on gene and/or protein expression is unlikely to occur as long as no mechanism can be identified for the interaction between these fields and living tissues, with the exception of the known conversion of electromagnetic energy into thermal energy.

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Simenon's novels are almost always strict point-of-view narratives.

No matter, for puppet president José León was - and he had strict point-scoring orders.

The selection process for Olympic fencing is based on a strict points system over performances in seven World Cup events and two national competitions.

The first segment begins with Linda leaving for work (at a local strip club) and then follows Oscar's nightly routine through strict point-of-view shots, including momentary blackouts that represent blinking, private internal thoughts, and extended sequences of a drug-induced hallucination.

This approach was recently considered by Jachymski in [1], Gwóźdź-Lukawska and Jachymski in [2], and then it was developed in many other papers ([3 5], etc).. On the other hand, fixed points and strict fixed points (also called end-points) are important elements in mathematical economics and game theory.

(i fixed points and strict fixed points, (ii multivalued weakly Picard operators, (iii multivalued Picard operators, (iv data dependence of the fixed point set, (v sequence of multivalued operators and fixed points, (vi Ulam-Hyers stability of a multivi Ulam-Hyersoint equation, (vii)well-postabilityf the fixed pofnt problem; (viii)fractal operators.

The purpose of this paper is to present some fixed-point and strict fixed-point results in a metric space endowed with a graph, using a contractive condition of Ćirić type with respect to the functional δ.

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