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In this paper we prove two fixed point theorems in topological vector space valued cone metric spaces (briefly TVS-CMS). To that end we introduce the concept of complete topological algebra cone (briefly CTA cone). Our theorems are generalizations of corresponding theorems in (8) and (13). The paper also gives answers to the open problems posed in (15). Finally we give an application of our first theorem. AMS Mathematics Subject Classification (2010): 47H10, 54H25, 46A40 Key terms: topological vector space, ordered topological vector space, algebra over a field, topological algebra over a field, topological vector space valued cone metric space, scalarization function, CTA cone

Two Fixed Point Theorems in Topological vector space Valued Cone Metric Spaces with Complete Topological Algebra Cones