Zobrazeno 1 - 10
of 759
pro vyhledávání: '"banach contraction"'
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 6, Iss 1, Pp 31-39 (2025)
We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.
Externí odkaz:
https://doaj.org/article/e68ecff814d549beb905b5a1481d294f
Autor:
Vasile Berinde
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-18 (2024)
Abstract We propose a hybrid inertial self-adaptive algorithm for solving the split feasibility problem and fixed point problem in the class of demicontractive mappings. Our results are very general and extend several related results existing in the
Externí odkaz:
https://doaj.org/article/1561bdbd46494a01a6584a0aec03fdfa
Autor:
Vildan Ozturk, Stojan Radenovic
Publikováno v:
Applied General Topology, Vol 25, Iss 1, Pp 175-182 (2024)
In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were pr
Externí odkaz:
https://doaj.org/article/374142f83fb94d3c8148c8de97f3c2b3
Publikováno v:
Alexandria Engineering Journal, Vol 90, Iss , Pp 153-160 (2024)
The main objective of the present paper is to establish the existence and uniqueness (EU) results for nonlinear fractional Langevin equation involving Liouville-Caputo generalized fractional derivative (GFD) of different order with non-local boundary
Externí odkaz:
https://doaj.org/article/53155448093e41d8ab56d849949d6c01
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena August 2024 185
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100663- (2024)
Scientists and epidemiologists have been developing vaccines and immunizing people to stop the spread of COVID-19. Unfortunately, because of the emergence of new strains and persistent infections in different nations, the global effort to combat the
Externí odkaz:
https://doaj.org/article/8a559da912014f118873fc50d2109815
Autor:
Erdal Karapınar, Marija Cvetković
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 3320-3331 (2024)
Bipolar metric spaces and related fixed point theorems therein were introduced based on the motivation of measuring the distance between the elements of distinct sets. The question regarding the independence of these results from the analogous result
Externí odkaz:
https://doaj.org/article/672bb3c39a78412996654b3c556d3801
Autor:
Deep Chand, Yumnam Rohen
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 1959-1968 (2024)
In this study, we explored a novel type of contraction, known as paired contraction (PC), to establish fixed points in metric spaces. It has been demonstrated that mappings possessing the PC property are continuous. We have also provided proofs for t
Externí odkaz:
https://doaj.org/article/bb959ea450024e1aa745dd258522543a
Autor:
Shin-Yi Huang, Wei-Shih Du
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1088 (2024)
In this paper, we investigate new fixed point theorems for generalized Meir–Keeler type nonlinear mappings satisfying the condition (DH). As applications, we obtain many new fixed point theorems which generalize and improve several results availabl
Externí odkaz:
https://doaj.org/article/d2e5c3d40c5a4d979058242bd319cb39