Results 11 to 20 of about 7,173,087 (42)
An Inequality of Ostrowski Type for Twice Differentiable Mappings in Terms of the Lp Norm and Applications [PDF]
, 1999 An inequality of the Ostrowski type for twice differentiable mappings whose derivatives belong to Lp (a, b) , 1 < p < ∞, and applications to special means and numerical integration are ...
Dragomir, Sever S, Sofo, Anthony
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Generalized Interpolative Contractions and an Application
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation.
Muhammad Nazam +3 more
wiley +1 more source
A geometric approach to the Proinov type contractions [PDF]
, 2022 In this paper, we prove some fixed-circle, fixed-disc and fixed-ellipse results on metric spaces. To do this, we define the notions of Proinov type a0-contraction and generalized Proinov type a0-contraction.
Taş Nıhal, Nıhal Taş
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 A highly efficient two‐step simultaneous iterative computer method is established here for solving polynomial equations. A suitable special type of correction helps us to achieve a very high computational efficiency as compared to the existing methods so far in the literature.
Naila Rafiq +4 more
wiley +1 more source
An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives [PDF]
, 1998 A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved.
Roumeliotis, John +2 more
core +5 more sources
Multivalued φ‐Contractions on Extended b‐Metric Spaces
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we have established some fixed‐point results for the class of multivalued φ‐contractions in the setting of extended b‐metric space. An example is furnished to show the validity of our results. The results we have obtained generalize/extend many recent results by Asl, Bota, Samreen et al., and those contained therein.
Maria Samreen +3 more
wiley +1 more source
Higher Order of Convergence with Multivalued Contraction Mappings
Journal of Mathematics, Volume 2020, Issue 1, 2020., 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. Our main results extend many previous existing results in the literature.
Jia-Bao Liu +5 more
wiley +1 more source
Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]
, 2002 A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
Dragomir, Sever S
core +5 more sources
A Grüss Type Discrete Inequality in Inner Product Spaces and Applications [PDF]
, 1999 A Grüss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and Lipschitzian vector valued mappings are ...
Dragomir, Sever S
core +5 more sources
Some New Fixed Point Theorems in Partial Metric Spaces with Applications
Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 Recently, a number of fixed point theorems for contraction type mappings in partial metric spaces have been obtained by various authors. Most of these theorems can be obtained from the corresponding results in metric spaces. The purpose of this paper is to present certain fixed point results for single and multivalued mappings in partial metric spaces ...
Rajendra Pant +4 more
wiley +1 more source