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General iterative method for solving fixed point problems involving a finite family of demicontractive mappings in Banach spaces

100%
Sow T.
Commentationes Mathematicae
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2019
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tom 59
|
nr 1-2
EN
The purpose of this paper is to study the general iterative method for demicontractive mappings in Banach spaces. The method gives us a~strong convergence iteration for a~finite family of demicontractive mappings and also permits us to solve variational inequality problems involving accretive operators without any compactness condition. Finally, we provide some applications, and an illustration of the proposed method is given in \(l_4\) spaces. Our results improve many recent results using the general iterative method for finding the fixed points of nonlinear operators.
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Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces

100%
Kumam P., Sarwar M., Zada M. B.
Annales Mathematicae Silesianae
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2016
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tom 30
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nr 1
89-110
EN
The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.
3
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Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces – Revisited

100%
Zada M. B., Sarwar M.
Annales Mathematicae Silesianae
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2017
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tom 31
|
nr 1
173-185
EN
In our previous work titled “Fixed Point Results Satisfying Rational type Contractive Conditions in Complex Valued Metric Spaces”[Ann. Math. Sil. 30 (2016), 89-110], some errors has been made in the main results (Theorem 3.1, Theorem 3.7 and Theorem 3.22), that may misguide the readers. This note provides corrections of these errors.
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