Results 31 to 40 of about 2,117,198 (290)
Generalizations of the Converse of the Contraction Mapping Principle [PDF]
Canadian Journal of Mathematics, 1966 This paper is an outgrowth of studies related to the converse of the contraction mapping principle. A natural formulation of the converse statement may be stated as follows: “Let X be a complete metric space, and T be a mapping of X into itself such that for each x ∈ X, the sequence of iterates ﹛Tnx﹜ converges to a unique fixed point ω ∈ X.
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On Mappings with Contractive Iterate at a Point in Generalized Metric Spaces [PDF]
Fixed Point Theory and Applications, 2011 AbstractUsing the setting of generalized metric space, the so-called G-metric space, fixed point theorems for mappings with a contractive and a generalized contractive iterate at a point are proved. These results generalize some comparable results in the literature. A common fixed point result is also proved.
Gajić, Ljiljana +1 more
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On a General Contractive Condition for Cyclic Self‐Mappings [PDF]
Journal of Applied Mathematics, 2011 This paper is concerned with p(≥2)‐cyclic self‐mappings in a metric space (X, d), with Ai ⊂ X, T(Ai)⊆Ai+1 for i = 1, 2, …, p, under a general contractive condition which includes as particular cases several of the existing ones in the literature.
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Journal of Nigerian Society of Physical Sciences, 2019 This paper introduces a new version of multivalued generalized F-Suzuki-Contraction mapping and then establish some new common fixed point theorems for these new multivalued generalized F-Suzuki-Contraction Mappings incomplete strong b-Metric Spaces.
Yusuf Ibrahim
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Removal and Contraction for n-Dimensional Generalized Maps [PDF]
, 2003 Removal and contraction are basic operations for several methods conceived in order to handle irregular image pyramids, for multi-level image analysis for instance. Such methods are often based upon graph-like representations which do not maintain all topological information, even for 2-dimensional images.
Damiand, Guillaume, Lienhardt, Pascal
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Four mappings and generalized contractions [PDF]
Fixed Point Theory and Applications, 2016 AbstractIn the paper general theorems on common fixed point for four mappings are presented. The results are compact and they extend and unify the respective part of the fixed point theory.
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Generalized fixed point results of rational type contractions in partially ordered metric spaces
BMC Research Notes, 2021 Objectives We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order.
N. Seshagiri Rao, K. Kalyani
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Generalized Proximal ψ‐Contraction Mappings and Best Proximity Points [PDF]
Abstract and Applied Analysis, 2012 We generalized the notion of proximal contractions of the first and the second kinds and established the best proximity point theorems for these classes. Our results improve and extend recent result of Sadiq Basha (2011) and some authors.
Winate Sanhan +2 more
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BMC Research Notes, 2020 Objectives In this paper we present some fixed point theorems for self mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -weak contraction condition in partially ordered complete b-metric spaces.
Namana Seshagiri Rao +2 more
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On mappings with φ-contractive iterate at a point on generalized metric spaces [PDF]
Fixed Point Theory and Applications, 2014 Abstract We prove a set of fixed point theorems for mappings with φ-contractive iterate at a point in a class of generalized metric spaces. This is a generalization of some well-known results for Guseman and Matkowski types of fixed point results in metric and generalized metric spaces. MSC:47H10, 54H25.
Gajić, Ljiljana, Stojaković, Mila
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