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1 - Common fixed point results on vector metric spacesJournal of Linear and Topological Algebra , Issue 1 , Year , Winter 2016In this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for three mappings in this space. Obtained results extend and generalize well-know MoreIn this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature. Manuscript profile -
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2 - Algebraic distance in algebraic cone metric spaces and its propertiesJournal of Linear and Topological Algebra , Issue 5 , Year , Autumn 2018In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance. Manuscript profile -
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3 - $\mathcal{E}$-metric spaces and common fixed point theoremsJournal of Linear and Topological Algebra , Issue 4 , Year , Summer 2022In this work we review some common fixed point theorems for four mappings without appealing to continuity in $\mathcal{E}$-metric spaces, where the metric is Riesz space valued. These results cover well-known comparable results in the existing literature by considering MoreIn this work we review some common fixed point theorems for four mappings without appealing to continuity in $\mathcal{E}$-metric spaces, where the metric is Riesz space valued. These results cover well-known comparable results in the existing literature by considering fewer conditions. Manuscript profile
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