Volume 09 (2020)
Volume 08 (2019)
Volume 07 (2018)
Volume 06 (2017)
Volume 05 (2016)
Volume 04 (2015)
Volume 03 (2014)
Volume 02 (2013)
Volume 01 (2012)
1. Approximate solutions of homomorphisms and derivations of the generalized Cauchy-Jensen functional equation in $C^*$-ternary algebras
Volume 09, Issue 01 , Winter 2020, Pages 1-15
Abstract
In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$\eta \mu f\left(\frac{x+y}{\eta}+z\right) = f(\mu x) + f(\mu y) +\eta f(\mu z)$$ for all $\mu \in \mathbb{S}:= \{ \lambda \in \mathbb{C} : |\lambda | =1\}$ ... Read More2. Fixed points of generalized $\alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces
Volume 09, Issue 01 , Winter 2020, Pages 17-34
Abstract
In this paper, we first introduce some types of generalized $\alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. ... Read More3. 2-Banach stability results for the radical cubic functional equation related to quadratic mapping
Volume 09, Issue 01 , Winter 2020, Pages 35-51
Abstract
The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$f\left(\sqrt[3]{ax^{3}+by^{3}}\right)+f\left(\sqrt[3]{ax^{3}-by^{3}}\right)=2a^{2}f(x)+2b^{2}f(y),\;\; x,y\in\mathbb{R},$$for a mapping $f$ from $\mathbb{R}$ ... Read More4. Fixed point results for Su-type contractive mappings with an application
Volume 09, Issue 01 , Winter 2020, Pages 53-65
Abstract
In this paper, we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered extended partial $b$-metric space. We also develop an application for Fredholm type integral equations ... Read More5. On the topological equivalence of some generalized metric spaces
Volume 09, Issue 01 , Winter 2020, Pages 67-74
Abstract
The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using some topological approaches. We introduce a new notion of a $TVS$-cone $S$-metric space using some facts about ... Read More6. Multi-valued fixed point theorems in complex valued $b$-metric spaces
Volume 09, Issue 01 , Winter 2020, Pages 75-94
Abstract
The aim of this paper is to establish and prove some results on common fixed point for a pair of multi-valued mappings in complex valued $b$-metric spaces. Our results generalize and extend a few results in the literature. Read More7. On morphisms of crossed polymodules
Volume 09, Issue 01 , Winter 2020, Pages 95-104