Results 31 to 40 of about 5,702 (174)
Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces
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
Remarks on G-metric spaces and fixed point theorems
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 Points of Suzuki Contractive Mappings in Modular b‐Metric Spaces With an Application
We introduce the concept of a generalized ZC‐type Suzuki contraction utilizing the generalized framework of metric spaces known as the partial modular b‐metric space in the light of an amorphous binary relation. This conceptual advancement facilitates the derivation of a series of relation–theoretical common fixed‐point theorems, underscoring the ...
Gopi Prasad, Emanuel Guariglia
wiley +1 more source
Is the solution to the BCS gap equation continuous in the temperature ?
One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we address this problem.
Watanabe, Shuji
core +1 more source
C∗-algebra-valued metric spaces and related fixed point theorems
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
The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali +3 more
doaj +1 more source
Generalization of the Banach contraction principle [PDF]
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
A note on matrices mapping a positive vector onto its element-wise inverse
For any primitive matrix $M\in\mathbb{R}^{n\times n}$ with positive diagonal entries, we prove the existence and uniqueness of a positive vector $\mathbf{x}=(x_1,\dots,x_n)^t$ such that $M\mathbf{x}=(\frac{1}{x_1},\dots,\frac{1}{x_n})^t$.
Labbé, Sébastien
core +1 more source
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
Significance of F‐Contraction After Proinov’s Fixed‐Point Results
Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem +4 more
wiley +1 more source

