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Vladimir Rakocevic - One of the best experts on this subject based on the ideXlab platform.
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Topological Vector Space valued cone metric Spaces and fixed point theorems
Fixed Point Theory and Applications, 2010Co-Authors: Zoran Kadelburg, Stojan Radenovic, Vladimir RakocevicAbstract:We develop the theory of Topological Vector Space valued cone metric Spaces with nonnormal cones. We prove three general fixed point results in these Spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed points, known from the theory of (normed-valued) cone metric Spaces. Examples are given to distinguish our results from the known ones.
Muhammad Arshad - One of the best experts on this subject based on the ideXlab platform.
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fixed point in Topological Vector Space valued cone metric Spaces
Fixed Point Theory and Applications, 2010Co-Authors: Akbar Azam, Ismat Beg, Muhammad ArshadAbstract:We obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric Spaces. Our results generalize some well-known recent results in the literature.
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common fixed points for maps on Topological Vector Space valued cone metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2009Co-Authors: Ismat Beg, Akbar Azam, Muhammad ArshadAbstract:We introduced a notion of Topological Vector Space valued cone metric Space and obtained some common fixed point results. Our results generalize some recent results in the literature.
Stojan Radenovic - One of the best experts on this subject based on the ideXlab platform.
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mizoguchi takahashi type theorems in tvs cone metric Spaces
Fixed Point Theory and Applications, 2012Co-Authors: Wasfi Shatanawi, Vesna Cojbasic Rajic, Stojan Radenovic, Ahmed AlrawashdehAbstract:In this paper, the concepts of a set-valued contraction of Mizoguchi-Takahashi type in the context of Topological Vector Space (tvs)-cone metric Spaces are introduced and a fixed point theorem in the context of tvs-cone metric Spaces with respect to a solid cone is proved. We obtained results which extend and generalize the main results of S. H. Cho with J. S. Bae, Mizoguchi with Takahashi and S. B. Nadler Jr. Two examples are given to illustrate the usability of our results. 2010 MSC: 47H10, 54H25.
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Topological Vector Space valued cone metric Spaces and fixed point theorems
Fixed Point Theory and Applications, 2010Co-Authors: Zoran Kadelburg, Stojan Radenovic, Vladimir RakocevicAbstract:We develop the theory of Topological Vector Space valued cone metric Spaces with nonnormal cones. We prove three general fixed point results in these Spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed points, known from the theory of (normed-valued) cone metric Spaces. Examples are given to distinguish our results from the known ones.
Tadesse Bekeshie - One of the best experts on this subject based on the ideXlab platform.
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two fixed point theorems in Topological Vector Space valued cone metric Spaces with complete Topological algebra cones
IOSR Journal of Mathematics, 2012Co-Authors: Tadesse BekeshieAbstract: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
Akbar Azam - One of the best experts on this subject based on the ideXlab platform.
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Topological Vector Space valued cone banach Spaces
International Journal of Analysis and Applications, 2014Co-Authors: Nayyar Mehmood, Akbar Azam, Suzana AleksicAbstract:In this paper we introduce the notion of tvs-cone normed Spaces, discuss related Topological concepts and characterize the tvs-cone norm in various directions. We construct generalize locally convex tvs generated by a family of tvs-cone seminorms. The class of weak contractions properly includes large classes of highly applicable contractions like Banach, Kannan, Chatterjea and quasi etc. We prove fixed point results in tvs-cone Banach Spaces for nonexpansive self mappings and self/non-self weak contractive mappings. We discuss the necessary conditions for T -stability of Picard iteration. To ensure the novelty of our work we establish an application in homotopy theory without the assumption of normality on cone and many non-trivial examples.
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fixed point in Topological Vector Space valued cone metric Spaces
Fixed Point Theory and Applications, 2010Co-Authors: Akbar Azam, Ismat Beg, Muhammad ArshadAbstract:We obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric Spaces. Our results generalize some well-known recent results in the literature.
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common fixed points for maps on Topological Vector Space valued cone metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2009Co-Authors: Ismat Beg, Akbar Azam, Muhammad ArshadAbstract:We introduced a notion of Topological Vector Space valued cone metric Space and obtained some common fixed point results. Our results generalize some recent results in the literature.