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Our first two theorems of this section contain some interesting and applicable results involving the order of starlikeness and the order of convexity inside U using some technical manipulations of…
In this part, some consequences are discussed in F-MS. Theorem 3.1 Let ((Upsilon , mathbb{Q} )) be an F–MS, set (Im :Upsilon rightarrow Upsilon ) and (Gamma :Upsilon rightarrow CB…
The Young inequality is a well-known inequality, valid for (p>1) and (frac{1}{p}+frac{1}{q}=1) is usually stated as $$ alpha beta le frac{1}{p}alpha ^{p}+ frac{1}{q}beta ^{q}, $$ (3) for any positive real…
For given real Banach spaces (X_{1}) and (X_{2}), and the mappings (F:X_{1}times X_{2}rightarrow X_{1}), (G:X_{1}times X_{2}rightarrow X_{2}), (widehat{H}_{1}:X_{1}rightarrow X_{1}), (widehat{H}_{2}:X_{2}rightarrow X_{2}), (M:X_{1}rightrightarrows X_{1}), and (N:X_{2}rightrightarrows X_{2}), we consider the problem…
Lemma 2.1 Suppose that (mathbb{T}_{1}), (mathbb{T}_{2}) are two times scales and (ain C (Omega = mathbb{T}_{1}times mathbb{T}_{2} ,mathbb{R}_{+})) is nondecreasing with respect to ((x,y) in Omega ). Assume that ϕ,…
In this chapter, an integral-type contraction condition is used to establish some common fuzzy FPs of FS-valued mappings involving Θ-contractions in a MS. Theorem 3.1 Let ((Upsilon , d)) be…
To prove our first existence result for multivalued problem (1.1), we need the following known results. Lemma 3.1 ([30]) Let X be a Banach space. Let (F : [a, b]…
In the previous section, we obtained explicit bounds for the interpolation constant for triangles of general shape. Basically, such bounds from theoretical analysis only provide a raw bound for the…
The definition of weak solution and the main results of this paper are listed below. Definition 2.1 A function (u(x,t)) is said to be a weak solution of equation (1.7)…
Frontiers | Ethnic, racial and regional inequalities in access to COVID-19 vaccine, testing and hospitalization:…