Results 31 to 40 of about 3,015 (138)
Demonstratio Mathematica, 2023 We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different ...
Păcurar Mădălina
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Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction
, 2014 In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
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A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah +4 more
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Demonstratio Mathematica, 2023 The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali +3 more
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Is the solution to the BCS gap equation continuous in the temperature ?
, 2013 One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we address this problem.
Watanabe, Shuji
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Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar +4 more
wiley +1 more source
A note on matrices mapping a positive vector onto its element-wise inverse
, 2017 For any primitive matrix $M\in\mathbb{R}^{n\times n}$ with positive diagonal entries, we prove the existence and uniqueness of a positive vector $\mathbf{x}=(x_1,\dots,x_n)^t$ such that $M\mathbf{x}=(\frac{1}{x_1},\dots,\frac{1}{x_n})^t$.
Labbé, Sébastien
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Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the notion of tricomplex partial metric space as an extension/generalization of the partial metric spaces and prove some common fixed point theorems. Our results extend and generalize some well‐known results. We have also presented nontrivial examples to the derived results.
Rajagopalan Ramaswamy +2 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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