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Alexander J. Zaslavski - One of the best experts on this subject based on the ideXlab platform.
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a convergence theorem for asymptotic contractions
Journal of Fixed Point Theory and Applications, 2008Co-Authors: Simeon Reich, Alexander J. ZaslavskiAbstract:We show that to each asymptotic contraction T with a bounded orbit in a Complete Metric Space X, there corresponds a unique point x * such that all the iterates of T converge to x *, uniformly on any bounded subset of X. If, in addition, some power of T is continuous at x *, then x * is a fixed point of T.
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Generic Well-Posedness for a Class of Equilibrium Problems
Journal of Inequalities and Applications, 2008Co-Authors: Alexander J. ZaslavskiAbstract:We study a class of equilibrium problems which is identified with a Complete Metric Space of functions. For most elements of this Space of functions (in the sense of Baire category), we establish that the corresponding equilibrium problem possesses a unique solution and is well-posed.
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Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces
Journal of Applied Analysis, 2007Co-Authors: Dan Butnariu, Simeon Reich, Alexander J. ZaslavskiAbstract:We exhibit a class of nonlinear operators with the property that their iterates converge to their unique xed points even when com- putational errors are present. We also show that most (in the sense of the Baire category) elements in an appropriate Complete Metric Space of operators do, in fact, possess this property.
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A turnpike result for autonomous variational problems
Optimization, 2004Co-Authors: Alexander J. ZaslavskiAbstract:In this paper we examine the structure of extremals of variational problems with continuous integrands f:R n × R n → R 1 which belong to a Complete Metric Space of functions. Our results deal with the turnpike properties of variational problems. To have this property means that the solutions of the problems are determined mainly by the integrand, and are essentially independent of the choice of interval and endpoint conditions.
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Generic Existence of Fixed Points for Set-Valued Mappings
Set-Valued Analysis, 2002Co-Authors: Simeon Reich, Alexander J. ZaslavskiAbstract:We first consider a Complete Metric Space of nonexpansive set-valued mappings acting on a closed convex subset of a Banach Space with a nonempty interior, and show that a generic mapping in this Space has a fixed point. We then establish analogous results for two Complete Metric Spaces of set-valued mappings with convex graphs.
Gu Feng - One of the best experts on this subject based on the ideXlab platform.
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common fixed point theorems for a class of twice power type contraction mapping in Complete Metric Space
Journal of Xinyang Normal University, 2011Co-Authors: Gu FengAbstract:In the Complete Metric Space,the existence and uniqueness of the common fixed points for a class of twice power type contraction mapping is discussed by use of pair of selfmapping of the compatibility and weak compatibility condition.A new common fixed point theorem is obtained.These results improve and develop the relevant results of Kennan,Mustafa and Brican.
Ishak Altun - One of the best experts on this subject based on the ideXlab platform.
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Multivalued Almost F-contractions on Complete Metric Spaces
Filomat, 2016Co-Authors: Ishak Altun, Gülhan Mınak, Gonca Durmaz, Salvador RomagueraAbstract:In the present paper, considering a new concept of multivalued almost F-contraction, we give a general class of multivalued weakly Picard operators on Complete Metric Space. Also, we give some illustrative examples showing that our results are proper generalizations of some previous theorems.
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Ćirić type generalized F-contractions on Complete Metric Spaces and fixed point results
Filomat, 2014Co-Authors: Gülhan Mınak, Asuman Helvacı, Ishak AltunAbstract:In his recent paper, Wardowski [15] introduced the concept of F-contraction mappings on Complete Metric Space. These type contractions are proper generalizations of ordinary contractions. In the peresent paper, we give some fixed point results for generalized F-contractions including Ciric type generalized F-contractions and almost F-contractions on Complete Metric Space. Also, we give an illustrative example.
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some new generalizations of mizoguchi takahashi type fixed point theorem
Journal of Inequalities and Applications, 2013Co-Authors: Gülhan Mınak, Ishak AltunAbstract:In the light of the paper of Hasanzade Asl et al. (Fixed Point Theory Appl. 2012:212, 2012, doi:10.1186/1687-1812-2012-212), we obtain a fixed point theorem for multivalued mappings on a Complete Metric Space. Our result is a generalized version of some results in the literature, including the famous result of Mizoguchi-Takahashi (J. Math. Anal. Appl. 141:177-188, 1989). Also, we give some examples to illustrate our result.
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A fixed fuzzy point for fuzzy mappings in Complete Metric Spaces
Mathematical Communications, 2008Co-Authors: Shaban Sedghi, Nabi Shobe, Ishak AltunAbstract:In this paper we prove a fixed point theorem for fuzzy mappings over a Complete Metric Space.
Ramakant Bhardwaj - One of the best experts on this subject based on the ideXlab platform.
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Fixed Point and Common Fixed Point Theorems in Complete Metric Spaces
Mathematical theory and modeling, 2013Co-Authors: Pushpraj Singh Choudhary, Renu Praveen Pathak, M.k. Sahu, Ramakant BhardwajAbstract:In this paper we established a fixed point and a unique common fixed point theorems in four pair of weakly compatible self-mappings in Complete Metric Spaces satisfy weakly compatibility of contractive modulus. Keywords : Fixed point, Common Fixed point, Complete Metric Space, Contractive modulus, Weakly compatible maps.
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FIXED POINT THEOREMS IN Complete Metric Space BY INTEGRAL TYPE MAPPING
International Journal of Mathematical Archive, 2012Co-Authors: Sarika Jain, Ramakant BhardwajAbstract:I n the present paper, we establish some fixed point theorem and common fixed point theorems for integral type mapping in Complete Metric Spaces. Our results are generalization and extension of various known results.
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some common fixed point theorem for generalized weak contraction in Complete Metric Space
Advances in Fixed Point Theory, 2012Co-Authors: Ramakant Bhardwaj, A S Saluja, Manish SharmaAbstract:In this paper, we prove some fixed point theorems in Metric Space by using generalized weak contractive mapping. Our main result is motivated by C- contraction also our results are generalization of many previous known results.
Rajesh Shrivastava - One of the best experts on this subject based on the ideXlab platform.
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rational type contraction mapping in Complete Metric Space
2014Co-Authors: Rajesh Shrivastava, Shashikant Singh YadavAbstract:Our aim of this paper is to obtain some common fixed point theorems in orbitally Metric Space satisfying different rational contractive conditions.
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rational type contraction mapping in t orbitally Complete Metric Space
Mathematical theory and modeling, 2014Co-Authors: R N Yadava, Rajesh Shrivastava, Shashikant Singh YadavAbstract:Our aim of this paper is to obtain some common fixed point theorems in orbitally Metric Space satisfying different rational contractive conditions. Key Words : T-orbital Metric Space, fixed point, common fixed point
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Common fixed point theorem in Complete Metric Space
Advances in Applied Science Research, 2013Co-Authors: Rajesh Shrivastava, Rajendra Kumar Dubey, Pankaj TiwariAbstract:The purpose of this article is to prove some common fixed point theorem in Complete Metric Space by using rational type contractive conditions. Our aim of this article is to generalized the results of Jaggi [5 ] and Jaggi and Das [6].
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Some fixed point theorem in Complete Metric Space for non-symMetric rational expressions
2012Co-Authors: Rajesh Shrivastava, Jitendra Singhvi, Sunil GargeAbstract:The present paper deals with some fixed point and common fixed point theorems in Complete Metric Spaces for new symMetric rational expressions.
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A Fixed Point Theorem in T- Orbitally Complete Metric Spaces
2011Co-Authors: Rajesh Shrivastava, Manavi KohliAbstract:The aim of the present paper is to establish a Fixed point theorem for a mapping T of Ciric type from orbitally Complete Metric Space into itself. Our results generalise the corresponding results of Ciric [1], Mukherjee [4], Jotic [5], and Liu and Park[6].