Results 31 to 40 of about 5,700 (185)

Remarks on G-metric spaces and fixed point theorems

, 2012
We discuss the introduced concept of G-metric spaces and the fixed point existing results of contractive mappings defined on such spaces. In particular, we show that the most obtained fixed point theorems on such spaces can be deduced immediately from ...
M. Jleli, B. Samet
semanticscholar   +1 more source

Fixed Point Results for Interpolative Kannan Type and Ćirić-Reich-Rus Type Cyclic Contractions in Dislocated Quasi-Rectangular b-Metric Spaces

Abstract and Applied Analysis
MSC2020 Classification 47H10, 54H25.
Nigussa L. Bayissa, Kidane K. Tola
doaj   +1 more source

C∗-algebra-valued metric spaces and related fixed point theorems

, 2014
Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces.
Zhenhua Ma, Lining Jiang, Hongkai Sun
semanticscholar   +1 more source

Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar, Poonam Yadav, Mohammad Sajid, Ji Gao   +3 more
wiley   +1 more source

Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces [PDF]

, 2005
2000 Mathematics Subject Classification: 47H10, 54E15.The purpose of this paper is to define the notion of A-distance and E-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive ...
Aamri, M., El Moutawakil, D.
core  

Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces

, 2015
In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by means of a cone ...
Fierro, Raúl
core   +1 more source

Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

, 2014
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar   +1 more source

Algorithms Based on Unions of Nonexpansive Maps

, 2018
In this note, we consider a framework for the analysis of iterative algorithms which can described in terms of a structured set-valued operator. More precisely, at each point in the ambient space, we assume that the value of operator can be expressed as ...
Tam, Matthew K.
core   +1 more source

Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings

, 2013
In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces.
Hao Liu, Shaoyuan Xu
semanticscholar   +1 more source

Generalization of the Banach contraction principle [PDF]

, 2013
We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle.
Berzig, Maher
core