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7 results on '"Wardowski D."'

1. Fixed Points Of F-Weak Contractions On Complete Metric Spaces

Author

Wardowski D. and Dung N. Van

Subjects
F-contraction, F-weak contraction, fixed point theorem, complete metric space, Mathematics, QA1-939
Abstract

In this paper, we introduce the notion of an F-weak contraction and prove a fixed point theorem for F-weak contractions. Examples are given to show that our result is a proper extension of some results known in the literature

Published
2014
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4. FIXED POINTS OF F-WEAK CONTRACTIONS ON COMPLETE METRIC SPACES.

Author

Wardowski, D. and Van Dung, N.

Subjects
*FIXED point theory, *METRIC spaces
Abstract

In this paper, we introduce the notion of an F-weak contraction and prove a fixed point theorem for F-weak contractions. Examples are given to show that our result is a proper extension of some results known in the literature. [ABSTRACT FROM AUTHOR]

Published
2018
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6. Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases

Author

Dariusz Wardowski, Calogero Vetro, Vetro C., and Wardowski D.

Subjects
Third order nonlinear, Oscillation and non-oscillation, Differential equation, General Mathematics, Comparison technique, 010102 general mathematics, Mathematical analysis, 01 natural sciences, Asymptotic behavior, 010101 applied mathematics, Settore MAT/05 - Analisi Matematica, 0101 mathematics, Third-order differential equation, Nonlinear differential equation, Mathematics
Abstract

We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano–Naito’s and Philos’ approaches.

Published
2022

7. Krasnosel'skiĭ-Schaefer type method in the existence problems

Author

Dariusz Wardowski, Calogero Vetro, Vetro C., and Wardowski D.

Subjects
Pure mathematics, Compact operator, Applied Mathematics, Banach space, Existence theorem, Type (model theory), Nonlinear integral equation, Integral equation, Settore MAT/05 - Analisi Matematica, F contraction, Algebraic number, F-contraction, Analysis, Krasnosel’skiĭ-schaefer fixed point theorem, Mathematics
Abstract

We consider a general integral equation satisfying algebraic conditions in a Banach space. Using Krasnosel'skii-Schaefer type method and technical assumptions, we prove an existence theorem producing a periodic solution of some nonlinear integral equation.

Published
2019

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