Results 71 to 80 of about 12,683 (242)
Caristi Type Selections of Multivalued Mappings [PDF]
Journal of Function Spaces, 2015 Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions.
Calogero Vetro, Francesca Vetro
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Aggregate, Volume 6, Issue 11, November 2025.Organic electronic devices benefit from flexible, low‐cost fabrication, with heterojunction microstructures playing a key role in tuning exciton dynamics, charge transport, and multifunctionality. This review summarizes recent advances in heterojunction design, covering performance optimization, functional integration, and four key construction ...
Chaoyi Yan +7 more
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Cyclical coincidences of multivalued maps
Journal of the Mathematical Society of Japan, 1986 We prove the following result using Brouwer's fixed-point theorem for a simplex. \(\forall\) \(i\in {\mathbb{Z}}_ m\), let \(X_ i\) be a nonempty convex subset of a topological vector space and \(T_ i: X_ i\to 2^{X_{i+1}}\) have nonempty convex values.
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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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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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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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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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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Complexity Of Multivalued Maps
, 2011 We consider the topological entropy of maps that in general, cannot be described by one-dimensional dynamics. In particular, we show that for a multivalued map F generated by singlevalued maps, the topological entropy of any of the single-value map bounds the topological entropy of F from below.
Sherwell, David, Visaya, Vivien
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COINCIDENCE POINTS OF COMPATIBLE MULTIVALUED MAPPINGS
Demonstratio Mathematica, 1996 Let \(CB(X)\) be the space of nonempty bounded closed subsets of a metric space \((X,d)\) with the Hausdorff metric. Mappings \(T:X\to CB(X)\), \(f:X\to X\) are said to be compatible if, for any sequence \(\{x_n\}\subset X\) satisfying \(\lim_{n\to\infty} fx_n\in \lim_{n\to\infty} Tx_n\) we have \(\lim_{n\to\infty} H(fTx_n,Tfx_n)=0\).
Azam, Akbar, Beg, Ismat
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