Khan, Muhammad Aqeel Ahmad
Published in
Advances in Pure and Applied Mathematics

In this paper, we propose a one-step iteration for the approximation of common fixed points of two uniformly continuous total asymptotically quasi-nonexpansive mappings in uniformly convex hyperbolic spaces. We establish strong convergence and Δ-convergence results of the proposed iteration in this setting. As a consequence, our convergence results...

Alimohammady, Mohsen Kalleji, Morteza K.
Published in
Advances in Pure and Applied Mathematics

A general framework for a relaxed proximal point algorithm using the notion of A-maximal accretive is developed. Convergence analysis for this algorithm in the context of solving a class of inclusion problems is explored along with some results on the resolvent operator corresponding to A-maximal accretive mappings.

Sharma, Ajay K. Sharma, Anshu
Published in
Advances in Pure and Applied Mathematics

We consider the integration operator I g,ϕ (n) f(z)=∫ 0 z f (n) (ϕ(ζ))g(ζ)dζ,$ I^{(n)}_{g,\hspace*{0.56905pt} \varphi }f(z)=\int _0^z f^{(n)}(\varphi (\zeta ))g(\zeta )d\zeta , $ where g is a holomorphic function on the unit disk 𝔻${\mathbb {D}}$ , ϕ${\varphi }$ is a holomorphic self-map of 𝔻${\mathbb {D}}$ and n∈ℕ∪{0}${n\in \mathbb {N} \cup \lbrac...

Dobberschütz, Sören Böhm, Michael
Published in
Advances in Pure and Applied Mathematics

The notion of periodic unfolding has become a standard tool in the theory of periodic homogenization. However, all the results obtained so far are only applicable to the “flat” Euclidean space ℝ n ${\mathbb {R}^n}$ . In this paper, we present a generalization of the method of periodic unfolding applicable to structures defined on certain compact Ri...

İşcan, İmdat
Published in
Advances in Pure and Applied Mathematics

In this paper, we derive new integral inequalities for functions with h -convex and h-concave first derivatives. As a consequence, we give new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are h-convex and h -concave and we point out the results f...

Oussa, Vignon
Published in
Advances in Pure and Applied Mathematics

Let N be a simply connected, connected nilpotent Lie group with the following assumptions. Its Lie algebra 𝔫${\mathfrak {n}}$ is an n-dimensional vector space over the reals. Moreover, 𝔫=𝔷⊕𝔟⊕𝔞${\mathfrak {n=z}\oplus \mathfrak {b}\oplus \mathfrak {a}}$ , 𝔷${\mathfrak {z}}$ is the center of 𝔫${\mathfrak {n}}$ , 𝔷=ℝZ n-2d ⊕ℝZ n-2d-1 ⊕⋯⊕ℝZ 1 ${\mathfra...

Özarslan, Hikmet Seyhan
Published in
Advances in Pure and Applied Mathematics

In this paper, a general theorem concerning the ϕ-|C,1;δ| k ${\varphi -{|{C,1;\delta }|}_k}$ -summability factors of infinite series has been proved.