Generalized composition operators on QK,ω (p,q) spaces

Abstract

In this paper, we prove some common fixed point results for four mappings satisfying generalized contractive condition in S-metric space. Our results extend and improve several previous works.

Generalized Composition Operators fromℬμSpaces toQK,ω(p,Li1, Ma2 2014Abstract and Applied Analysis3030View full textAdd to dashboardCite

“…(c) ⇒ (a) Assume that (14) and (15) hold. Assume that { } ∈N is a bounded sequence in B such that → 0 uniformly on compact subsets of D. Assume ‖ ‖ B ≤ 1; by (15), for any given > 0, there exists…”

“…In [9], the authors studied composition operators from Bloch type spaces into ( , ) spaces. In [14], the authors characterized the boundedness and compactness of generalized composition operators on , ( , ) spaces. In [15], Rezaei and Mahyar studied generalized composition operators from logarithmic Bloch type spaces to type spaces.…”

Existence Solutions of the Complex Linear Differential Equations in QK,ω(p, q) Spaces

“…The coefficients A 0 (z), ..., A k−1 (z) in (1) are polynomials in the complex plane if and only if all solutions of (1) are entire functions of finite order of growth. A homogeneous complex differential equation of order k as in (1) where z ∈ D ⊆ C and the coefficients A j (z) are analytic functions in D for j = 0, ..., k − 1, the solutions of (1) are analytic in D too, and there are exactly k linearly independent solutions of (1). This means that if we have k linearly independent solutions, all other solution can be represented as a linear combination of these solutions.…”

“…The following conditions have played crucial roles in the study of Q K,ω (p, q) spaces (see [1,11]).…”