Browsing by Author "Ishtiaq, Umar"

Now showing 1 - 4 of 4

Citation - Scopus: 2
Common Fixed Point, Baire's and Cantor's Theorems in Neutrosophic 2- Metric Spaces
(Amer inst Mathematical Sciences-aims, 2022) Ahmad, Khaleel; Asjad, Muhammad Imran; Ali, Farhan; Jarad, Fahd; Ishtiaq, Umar
These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.
Citation - WoS: 2
Citation - Scopus: 2
Equivalence of Novel Ih-Implicit Fixed Point Algorithms for a General Class of Contractive Maps
(Amer inst Mathematical Sciences-aims, 2023) Ishtiaq, Umar; Saleem, Naeem; Igbokwe, Donatus Ikechi; Jarad, Fahd; Agwu, Imo Kalu
In this paper, a novel implicit IH-multistep fixed point algorithm and convergence result for a general class of contractive maps is introduced without any imposition of the "sum conditions" on the countably finite family of the iteration parameters. Furthermore, it is shown that the convergence of the proposed iteration scheme is equivalent to some other implicit IH-type iterative schemes (e.g., implicit IH-Noor, implicit IH-Ishikawa and implicit IH-Mann) for the same class of maps. Also, some numerical examples are given to illustrate that the equivalence is true. Our results complement, improve and unify several equivalent results recently announced in literature.
Citation - WoS: 2
Citation - Scopus: 2
Fixed Point Theorems for Controlled Neutrosophic Metric-Like Spaces
(Amer inst Mathematical Sciences-aims, 2022) Ishtiaq, Umar; Saleem, Naeem; Ahmad, Khaleel; Jarad, Fahd; Uddin, Fahim
In this paper, we establish the concept of controlled neutrosophic metric -like spaces as a generalization of neutrosophic metric spaces and provide several non -trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results for contraction mappings and provide the examples with their graphs to show the validity of the results. At the end of the manuscript, we establish an application to integral equations, in which we use the main result to find the solution of the integral equation.
A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces
(Wiley, 2023) Agwu, Imo Kalu; Ishtiaq, Umar; Jarad, Fahd; Saleem, Naeem
In this paper, firstly, we introduce a method for finding common fixed point of L-Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and L-Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Banach space. Secondly, the demiclosedness principle for total asymptotically strictly pseudo-non-spreading non-self-mappings is established. Thirdly, the weak convergence theorems of the proposed method to the common fixed point of the above mappings are proved. Our results improved, extended, and generalized some corresponding results in the literature.