Results 31 to 40 of about 1,132,756 (313)

A stochastic contraction mapping theorem

Systems & Control Letters, 2023
27 pages, one ...
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Coupled fixed point sets with data-dependence and stability [PDF]

Surveys in Mathematics and its Applications, 2022
In this paper we establish a coupled fixed point theorem of a coupled multivalued mapping defined on a complete metric space. In our result we use a new contractive inequality. There are rational terms in the expression of the inequality. The contractive
Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu   +2 more
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Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space

Abstract and Applied Analysis, 2022
In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved ...
Yohannes Gebru, Yitages Negede
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A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, a generalization of Nadler's fixed point theorem is presented for $H^+$-type $k$-multi-valued weak contractive mappings. We consider a nonconvex Hammerstein type integral inclusion and prove an existence theorem by using an $H^+$-type ...
H. Pathak, N. Shahzad
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A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings

Journal of Function Spaces and Applications, 2013
Based on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions.
Jin Liang, Sheng-Hua Yan
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Fixed Point Index for Simulation Mappings and Applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid, Hammache Karima, Melouane Nassima   +2 more
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On contractive mappings [PDF]

Proceedings of the American Mathematical Society, 1973
The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow.
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WEAKLY CONTRACTIVE MAPPING IN PARTIAL METRIC SPACE

, 2017
Contractive mapping is one kind of mapping that guarantees a fixed point in a metric space  Many experts has developed this kind of mapping to show the existence of a fixed point such as Kannan mapping and Chatterjea Contractive mapping.
Sagita Charolina Sihombing
core   +1 more source

Contractibility of a persistence map preimage [PDF]

Journal of Applied and Computational Topology, 2020
AbstractThis work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that encode topological features of snapshots of solutions, what conclusions can be drawn about solutions of the original dynamical system? We address this challenge in the
Jacek Cyranka, Konstantin Mischaikow, Charles Weibel   +2 more
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Graphical approach to the study of fixed point results involving hybrid contractions

Results in Control and Optimization
In this work, a new class of general contractive mappings, with the name Jaggi-Suzuki-type hybrid (K-α-ϕ)-contractive mapping is discussed in metric space equipped with a graph and new criteria for which the mapping is a Picard operator are studied.
Jamilu Abubakar Jiddah, Mohammed Shehu Shagari   +1 more
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