Results 91 to 100 of about 1,161,349 (277)
Multivalued Nonexpansive Mappings and Opial's Condition [PDF]
Proceedings of the American Mathematical Society, 1973 We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result ...
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On stability of fixed points of multivalued maps [PDF]
Topological Methods in Nonlinear Analysis, 2001 Generalizing result of \textit{B. O'Neill} [Am. J. Math. 75, 497-509 (1953; Zbl 0050.39202)] and \textit{G. Gabor} [Math. Japan. 40, No. 2, 361-369 (1994; Zbl 0812.54047)], the authors give criteria for the stability of an isolated fixed point of a convex-valued multivalued map in a Banach space w.r.t. small perturbations. These criteria are formulated
Obukhovskiĭ, Valeri, Starova, Tatiana
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
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Advanced Theory and Simulations, Volume 8, Issue 10, October 2025.The seal louse Echinophthirius horridus has uniquely shaped setae that may reduce drag during its host's dives. Using numerical simulations, this study demonstrates that their natural inclination promotes vortex formation, minimizing friction and energy loss. These findings provide insights into biological surface adaptations and may inspire the design
Anika Preuss +3 more
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Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces
Demonstratio Mathematica, 2019 We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid +2 more
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Higher Order of Convergence with Multivalued Contraction Mappings
Journal of Mathematics, 2020 In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence.
Jia-Bao Liu +4 more
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Journal of Fixed Point Theory and Applications, 2020 We are concerned with the problem of solving variational inequalities which are defined on the set of fixed points of a multivalued nonexpansive mapping in a reflexive Banach space. Both implicit and explicit approaches are studied. Strong convergence of
Hong-Kun Xu, L. Muglia
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Phenomenological contact line friction coefficient
Droplet, Volume 4, Issue 4, October 2025.Contact line dissipation is crucial in capillary‐driven phenomena, where the resistance to contact line motion significantly influences wetting dynamics. The contact line friction coefficient μf${\mu }_{\mathrm{f}}$ emerges as a key phenomenological parameter that quantifies this dissipative behavior.
Jiaxing Shen +2 more
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Perfect Roads for Multivalued Maps
Real Analysis Exchange, 2006 The main purpose of the paper is to extend Maximoff's theorem for real functions to the multivalued maps case. Theorem (Maximoff [5]) Let $f : \mathbb{R}\to\mathbb{R}$ be a first Baire class function. Then $f$ has the Darboux property if and only if $f$ has a perfect road at each point.
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Integrated Soil Fertility Management for Sustainable Food Security: Evidence From Cameroon
Food and Energy Security, Volume 14, Issue 5, September/October 2025.ABSTRACT The application of organic and mineral soil fertility amendments is widely promoted by agricultural practitioners to cope with land degradation and declining soil fertility, which pose serious threats to food security. However, the impact of the individual and combined use of organic and mineral soil fertility amendments on food security and ...
Boris D. Soh Wenda +5 more
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