Results 71 to 80 of about 7,273 (258)
Block-Coppels chaos in set-valued discrete systems [PDF]
Let (X, d) be a compact metric space and f : X → X be a continuous map. Consider the metric space (K(X),H) of all non empty compact subsets of X endowed with the Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be defined by ¯ f(A) = {f(a) : a ∈ A} .
Mojtaba Jazaeri, Bahman Honary
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ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Common Fixed Point Theorems in a New Fuzzy Metric Space
We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new M∞-fuzzy metric, where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real ...
Weiquan Zhang +3 more
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On topological properties of the Hausdorff fuzzy metric spaces
In the paper, necessary and sufficient conditions for two Hausdorff fuzzy metric spaces to be homeomorphic are studied. Also, several properties of the Hausdorff fuzzy metric spaces, as F-boundedness, separability and connectedness are explored.
Changqing Li, Kedian Li
core +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
LOCAL PRE-HAUSDORFF EXTENDED PSEUDO-QUASI-SEMI METRIC SPACES
In this paper, we characterize local pre-Hausdorff extended pseudo-quasi-semi metric spaces and investigate the relationships between them. Finally, we show that local pre-Hausdorff extended pseudo-quasi-semi metric spaces are hereditary and ...
KULA, Muammer, Baran, Tesnim Meryem
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Abstract Objective Artificial intelligence (AI) has advanced to simultaneously process visual, auditory, and textual inputs, providing users with “multimodal” AI. Given the clinical integration potential of these tools, otolaryngologists must stay informed. This study reviews current literature on applications of multimodal AI in otolaryngology.
Ying Jie Li +5 more
wiley +1 more source
ANALYSIS OF FRESCHET AND HAUSDORF METRICS AND THEIR MODIFICATIONS FOR IMAGE COMPARISON
This paper provides a comprehensive analysis of classical and modern metric approaches used for quantitative evaluation of image similarity, including the Fréchet and Hausdorff distances as well as their modifications – the Gromov-Fréchet and Gromov ...
Микола БЕРЕЗЬКИЙ
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A Triple Fixed Point Theorem for Multimap in a Hausdorff Fuzzy Metric Space
We obtain two triple fixed point theorems for a multimap in a Hausdorff fuzzy metric space.
K. P. R. Rao, K. R. K. Rao
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Probabilistic Generalized Metric Spaces and Nonlinear Contractions
We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
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