Results 21 to 30 of about 12,683 (242)
A Modified Proximal Point Algorithm and Some Convergence Results
Journal of Mathematics, 2021 In this paper, the convergence to minimizers of a convex function of a modified proximal point algorithm involving a single-valued nonexpansive mapping and a multivalued nonexpansive mapping in CAT(0) spaces is studied and a numerical example is given to
Shengquan Weng, Dingping Wu, Zengfu Chao
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ON MULTIVALUED f-NONEXPANSIVE MAPS
Demonstratio Mathematica, 1999 The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
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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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Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
Journal of Applied Mathematics, 2012 The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
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Applied General Topology, 2022 In this paper, we present some results on fixed point index calculations for multivalued mappings and apply them to prove the existence of solutions to multivalued equations in ordered space, under flexible conditions for the positive eigenvalue.
Vo Viet Tri
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Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – In this paper, the explicit multistep, explicit multistep-SP and implicit multistep iterative sequences are introduced in the context of modular function spaces and proven to converge to the fixed point of a multivalued map T such that PρT, an ...
Hudson Akewe, Hallowed Olaoluwa
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Recent advances in the Lefschetz fixed point theory for multivalued mappings
Results in Nonlinear Analysis, 2021 In 1923 S. Lefschetz proved the famous fixed point theorem known as the Lefschetz fixed point theorem (comp. [5], [9], [20], [21]. The multivalued case was considered for the first time in 1946 by S. Eilenberg and D. Montgomery ([10]).
Lech Górniewicz
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Carathéodory selections for multivalued mappings
Nonlinear Analysis: Theory, Methods & Applications, 2006 Let \((\Omega ,{\mathcal F})\) be a measurable space, \(T\) a locally compact separable metric space, and \(E\) a real separable Banach space. The following theorem is the main result of this paper: Let \(X:\Omega \times T\to 2^E\) be a Carathéodory set-valued mapping, i.e., measurable in \(\omega\) and continuous in \(t\).
Fierro, R, Martinez, C, Morales, CH
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Weak index pairs and the Conley index for discrete multivalued dynamical systems
, 2015 Motivated by the problem of reconstructing dynamics from samples we revisit the Conley index theory for discrete multivalued dynamical systems. We introduce a new, less restrictive definition of the isolating neighbourhood.
Batko, Bogdan, Mrozek, Marian
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An ordered framework for partial multivalued functors
, 2015 The category Rel of sets and relations intimately ties the notions of function, partial multivalued function, and direct image under a function through the description of Rel as the Kleisli category of the covariant power set functor on Set. We present a
Chand, Alveen, Weiss, Ittay
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