Results 41 to 50 of about 8,426 (194)

Fixed point theorems for weakly beta-admissible pair of F-contractions with application

, 2019
In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered ...
Hussain, Nawab, Arshad, Muhammad, Hussain, Aftab, Nazam, Muhammad   +3 more
core   +1 more source

Fixed and common fixed point theorems in frame of quasi metric spaces under contraction condition based on ultra distance functions

Nonlinear Analysis, 2018
In this paper, we introduce the notion of ultra distance function. Based on the notion of ultra distance function, we introduce the definitions of (k, ψ, L)-quasi contractions of type (I) and type (II) in the frame of quasi metric spaces.
Wasfi Shatanawi
doaj   +1 more source

Learning stabilizable nonlinear dynamics with contraction-based regularization [PDF]

The International Journal of Robotics Research, 2020
We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key contribution is a control-theoretic regularizer for dynamics fitting rooted in the notion of stabilizability, a constraint which guarantees the existence of robust tracking controllers for arbitrary open-loop trajectories
Sumeet Singh, Spencer M. Richards, Vikas Sindhwani, Jean-Jacques E. Slotine, Marco Pavone 0001   +4 more
openaire   +3 more sources

On approximation by semigroups of nonlinear contractions, I

Journal of Approximation Theory, 1975
AbstractThis note is a sequel to the preceding one with the same title published in this Journal (13, 205–217 (1975)). The contents of the first paper are assumed to be known. References are in alphabetical order in each paper, but they, as well as the sections, are numbered consecutively.
openaire   +1 more source

Contraction Metrics in Adaptive Nonlinear Control

CoRR, 2019
Added transient bounds for matched uncertainty and results with parameter bounds.
Brett T. Lopez, Jean-Jacques E. Slotine
openaire   +2 more sources

On nonlinear quasi-contractions on TVS-cone metric spaces [PDF]

, 2011
Recently, Du [W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. (2009), doi:10.1016/j.na.2009.10.026] introduced the notion of TVS-cone metric space.
Ivan D. Aranđelović, Kečkić, Dragoljub J., Dragoljub J. Kečkić, Aranđelović, Ivan D., Aranđelović, Ivan   +4 more
core   +1 more source

Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

Demonstratio Mathematica
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
doaj   +1 more source

Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation

Journal of Function Spaces, 2020
In this work, we introduce various Darbo-type F£-contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F£-expanding mapping and prove fixed point theorems under the Darbo-type F ...
Mian Bahadur Zada, Muhammad Sarwar, Thabet Abdeljawad, Fahd Jarad   +3 more
doaj   +1 more source

Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications

Complexity, 2020
The aim of this research work is to find out some results in fixed point theory for a pair of families of multivalued mappings fulfilling a new type of U-contractions in modular-like metric spaces.
Tahair Rasham, Abdullah Shoaib, Choonkil Park, Manuel de la Sen, Hassen Aydi, Jung Rye Lee   +5 more
doaj   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

Mathematics, 2020
Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness
Maria Dobriţoiu
doaj   +1 more source