The Experts below are selected from a list of 104448 Experts worldwide ranked by ideXlab platform
Mohamed A. Khamsi - One of the best experts on this subject based on the ideXlab platform.
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caristi fixed Point Theorem in metric spaces with a graph
Abstract and Applied Analysis, 2014Co-Authors: Monther Rashed Alfuraidan, Mohamed A. KhamsiAbstract:We discuss Caristi’s fixed Point Theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed Point Theorem. It extends some recent works on the extension of Banach contraction principle to metric spaces with graph.
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extension of caristi s fixed Point Theorem to vector valued metric spaces
Nonlinear Analysis-theory Methods & Applications, 2011Co-Authors: Mohamed A. Khamsi, Ravi P AgarwalAbstract:Abstract The paper deals with the classical Caristi fixed Point Theorem in vector valued metric spaces. The results obtained seem to be new in this setting.
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remarks on caristi s fixed Point Theorem
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Mohamed A. KhamsiAbstract:Abstract In this work, we give a characterization of the existence of minimal elements in partially ordered sets in terms of fixed Points of multivalued maps. This characterization shows that the assumptions in Caristi’s fixed Point Theorem can, a priori, be weakened. Finally, we discuss Kirk’s problem on an extension of Caristi’s Theorem and prove a new positive result which illustrates the weakening mentioned before.
Tomonari Suzuki - One of the best experts on this subject based on the ideXlab platform.
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caristi s fixed Point Theorem and subrahmanyam s fixed Point Theorem in generalized metric spaces
Journal of Function Spaces and Applications, 2015Co-Authors: Badriah A. S. Alamri, Tomonari Suzuki, Liaqat Ali KhanAbstract:We discuss the completeness of -generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed Point Theorem.
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a new type of fixed Point Theorem in metric spaces
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Tomonari SuzukiAbstract:Abstract We prove a generalization of Edelstein’s fixed Point Theorem. Though there are thousands of fixed Point Theorems in metric spaces, our Theorem is a new type of Theorem.
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a generalization of kannan s fixed Point Theorem
Fixed Point Theory and Applications, 2009Co-Authors: Yusuke Enjouji, Masato Nakanishi, Tomonari SuzukiAbstract:In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed Point Theorem. Our Theorem involves constants and we obtain the best constants to ensure a fixed Point.
Haiyun Zhou - One of the best experts on this subject based on the ideXlab platform.
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a common fixed Point Theorem in metric spaces
Fixed Point Theory and Applications, 2007Co-Authors: Shaban Sedghi, Nabi Shobe, Haiyun ZhouAbstract:We give some new definitions of -metric spaces and we prove a common fixed Point Theorem for a class of mappings under the condition of weakly commuting mappings in complete -metric spaces. We get some improved versions of several fixed Point Theorems in complete -metric spaces.
R Vasuki - One of the best experts on this subject based on the ideXlab platform.
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a common fixed Point Theorem in a fuzzy metric space
Fuzzy Sets and Systems, 1998Co-Authors: R VasukiAbstract:Abstract We prove a common fixed Point Theorem for a sequence of mappings in a fuzzy metric space. This result offers a generalization of Grebiec's Theorem [M. Grebiec, Fuzzy Sets and Systems 27 (1988) 385–389].
Tayyab Kamran - One of the best experts on this subject based on the ideXlab platform.
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solution of volterra integral inclusion in b metric spaces via new fixed Point Theorem
Nonlinear Analysis-Modelling and Control, 2017Co-Authors: Muhammad Ali, Tayyab Kamran, Mihai PostolacheAbstract:An existence Theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed Point Theorems for these contractions in the setting of b-metric spaces. Finally, we apply our fixed Point Theorem to prove the existence Theorem for Volterra-type integral inclusion. We also provide an example to show that our fixed Point Theorem is a proper generalization of a recent fixed Point Theorem by Cosentino et al.
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mizoguchi takahashi s fixed Point Theorem with functions
Abstract and Applied Analysis, 2013Co-Authors: Tayyab Kamran, Wutiphol Sintunavarat, Phayap KatchangAbstract:We introduce the notion of generalized
-admissible mappings. By using this notion, we prove a fixed Point Theorem. Our result generalizes Mizoguchi-Takahashi’s fixed Point Theorem. We also provide some examples to show the generality of our work. -
Mizoguchi-Takahashi's type fixed Point Theorem
Computers & Mathematics with Applications, 2009Co-Authors: Tayyab KamranAbstract:Recently, Eldred [A.A. Eldred, J. Anuradha, P. Veeramani, On equivalence of generalized multi-valued contactions and Nadler's fixed Point Theorem, J. Math. Anal. Appl. (2007) doi:10.1016/j.jmaa.2007.01.087] claimed that Nadler's [S.B. Nadler Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969) 475-488] fixed Point Theorem is equivalent to Mizoguchi-Takahashi's [N. Mizoguchi, W. Takahashi, Fixed Point Theorems for multivalued mappings on complete metric space, J. Math. Anal. Appl. 141 (1989) 177-188] fixed Point Theorem. Very recently, Suzuki [T. Suzuki, Mizoguchi-Takahashi's fixed Point Theorem is a real generalization of Nadler's, J. Math. Anal. Appl. (2007) doi:10.1016/j.jmaa.2007.08.022] produced an example to disprove their claim and showed that Mizoguchi-Takahashi's fixed Point Theorem is a real generalization of Nadler's fixed Point Theorem. We refine/generalize Mizoguchi-Takahashi's fixed Point Theorem. Our result improves a recent result by Klim and Wadowski [D. Klim, D. Wardowski, Fixed Point Theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl. 334 (1) (2007) 132-139] and extends Hicks and Rhoades [T.L. Hicks, B.E. Rhoades, A banach type fixed Point Theorem, Math. Japonica 24 (1979) 327-330] fixed Point Theorem to multivalued maps.
