Results 21 to 30 of about 69,929 (304)

A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b-Metric Spaces

open access: yesMathematics, 2019
In this paper, we prove a new fixed point theorem for a multi-valued mapping from a complete extended b-metric space U into the non empty closed and bounded subsets of U, which generalizes Nadler’s fixed point theorem.
Nayab Alamgir   +3 more
doaj   +1 more source

Coincidence and fixed points of nonlinear Hybrid contractions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
In this Der, we show the existence of solutions of functional equations fx∈sx∩tx and x=fx∈sx∩Tx under certain contraction and asymptotic regularity conditions, where f, S and T are single-valued and multl-valued mappings on a metric space, respectively ...
Shyam Lal Singh, Ki Sik Ha, Yeol Je Cho
doaj   +1 more source

Hilfer–Hadamard Fractional Boundary Value Problems with Nonlocal Mixed Boundary Conditions

open access: yesFractal and Fractional, 2021
This paper is concerned with the existence and uniqueness of solutions for a Hilfer–Hadamard fractional differential equation, supplemented with mixed nonlocal (multi-point, fractional integral multi-order and fractional derivative multi-order) boundary ...
Bashir Ahmad, Sotiris K. Ntouyas
doaj   +1 more source

Invariant constant multi-valued mapping for the heat conductivity problem [PDF]

open access: yes, 2019
We consider a heat conductivity equation with boundary control. The problems of strong and weak invariance of constant multi-valued mapping are analyzed for this equation.
Mustapokulov, K.   +2 more
core   +1 more source

Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings

open access: yesJournal of Mathematical Analysis and Applications, 2006
In this paper, the famous Banach contraction principle and Caristi's fixed point theorem are generalized to the case of multi-valued mappings. The results are extensions of Nadler's fixed point theorem and some Caristi type theorems for multi-valued operators.
Feng, Yuqiang, Liu, Sanyang
openaire   +2 more sources

Algorithms for Mobile Robot Localization and Mapping, Incorporating Detailed Noise Modeling and Multi-scale Feature Extraction [PDF]

open access: yes, 2006
Mobile robot localization and mapping in unknown environments is a fundamental requirement for effective autonomous navigation. Three different approaches to localization and mapping are presented.
Pfister, Samuel Thomas
core   +1 more source

Constrained extremal solutions of multi-valued linear inclusions in Banach spaces

open access: yesJournal of Inequalities and Applications, 2016
Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
doaj   +1 more source

On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results

open access: yesOpen Mathematics, 2016
The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces.
Kutbi Marwan Amin, Sintunavarat Wutiphol
doaj   +1 more source

The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions

open access: yesMathematics, 2020
In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which ...
Nawab Hussain   +3 more
doaj   +1 more source

Convexity of Multi-valued Momentum Maps

open access: yesGeometriae Dedicata, 2005
We extend the famous convexity theorem of Atiyah, Guillemin and Sternberg to the case of non-Hamiltonian actions. We show that the image of a generalized momentum map is a bounded polytope times a vector space. We prove that this picture is stable for small perturbations of the symplectic form.
openaire   +3 more sources

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