Results 41 to 50 of about 763,238 (74)

Analysis of a Radiotherapy Model for Brain Tumors

Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.
ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva   +3 more
wiley   +1 more source

Study of Nonlinear Second‐Order Differential Inclusion Driven by a Φ−Laplacian Operator Using the Lower and Upper Solutions Method

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we study a second‐order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Xiaolong Qin   +3 more
wiley   +1 more source

Multivalued Pseudo-Picard Operators and Fixed Point Results

, 2020
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M.
Özlem Acar, Ishak Altun, Gülhan Mjnak
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Weakly Picard mappings [PDF]

, 1993
summary:In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses.
Rus, Ioan A.
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Almost Picard Operators [PDF]

, 2019
3rd International Conference of Mathematical Sciences (ICMS) -- SEP 04-08, 2019 -- Maltepe Univ, Istanbul, TURKEYThe concept of Picard operator is one of the most important concept of fixed point theory.
Ishak Altun, Hancer, Hatice Aslan, Altun, Ishak, Hatice Aslan Hancer   +3 more
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Fixed point results for multivalued prešić type weakly contractive mappings [PDF]

, 2019
We present fixed points results of multivalued Prešić type k-step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein.
Mujahid Abbas, Nazir, Talat, Talat Nazir, Abdul Latif, Latif, Abdul, Abbas, Mujahid   +5 more
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Multivalued Almost F-contractions on Complete Metric Spaces

, 2016
In the present paper, considering a new concept of multivalued almost F-contraction, we give a general class of multivalued weakly Picard operators on complete metric spaces.
Romaguera Bonilla, Salvador, Minak, Gülhan, Durmaz, Gonca, Romaguera, Salvador, Altun, Ishak   +4 more
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Dick Picard sitting on his motorcycle on bridge

, 1967
Dick Picard sitting on his motorcycle on bridge, during tour of ...

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Dick Picard in position as navigator on C-130

, 1967
Dick Picard in position as navigator on C-130, during flight back to Southeast ...

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ON THE SOLUTION OF STEINHAUS FUNCTIONAL EQUATION USING WEAKLY PICARD OPERATORS

, 2011
In this paper we obtain existence results regarding the solutions g of a Steinhaus type functional equation of the form g(x) + g(f (x)) = F (x), under the significantly weaker assumption that f is a weakly Picard operator.
Vasile Berinde
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