Applied General Topology
Permanent URI for this community
Applied General Topology publica artículos de investigación originales relacionados con las interacciones entre la topología general y otras disciplinas matemáticas así como los resultados topológicos con aplicaciones a otras áreas de la ciencia, y el desarrollo de teorías topológicas de importancia para permitir futuras aplicaciones.
Browse
Browsing Applied General Topology by Author "Abbas, Mujahid"
Now showing 1 - 6 of 6
Results Per Page
Sort Options
- PublicationFejér monotonicity and fixed point theorems with applications to a nonlinear integral equation in complex valued Banach spaces(Universitat Politècnica de València, 2020-04-03) Okeke, Godwin Amechi; Abbas, Mujahid; Abdus Salam School of Mathematical Sciences[EN] It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex valued Banach spaces. We prove that results in complex valued Banach spaces are valid in cone metric spaces with Banach algebras. Furthermore, we apply our results in solving certain mixed type VolterraFredholm functional nonlinear integral equation in complex valued Banach spaces.
- PublicationFixed point results of enriched interpolative Kannan type operators with applications(Universitat Politècnica de València, 2022-10-03) Abbas, Mujahid; Anjum, Rizwan; Riasat, Shakeela[EN] The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains theclasses of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskij iteration method to approximate fixed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problems is solved.
- PublicationGeneralized c-distance on cone b-metric spaces endowed with a graph and fixed point results(Universitat Politècnica de València, 2017-10-02) Fallahi, Kamal; Abbas, Mujahid; Soleimani Rad, Ghasem[EN] The aim of this paper is to present fixed point results of contractive mappings in the framework of cone b-metric spaces endowed with a graph and associated with a generalized c-distance. Some corollaries and an example are presented to support the main result proved herein. Our results unify, extend and generalize various comparable results in the literature.
- PublicationImproved F-contraction of rational type on partial metric spaces(Universitat Politècnica de València, 2017-10-02) Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid[EN] Following the approach of $F$- contraction introduced by Wardowski \cite{DW}, in this paper, we introduce improved $F$-contraction of rational type in the framework of partial metric spaces and used it to obtain a common fixed point theorem for a pair of self mappings. We show, through example, that improved $F$-contraction is more general than $F$- contraction and guarantees fixed points in those cases where $F$-contraction fails to provide. Moreover, we apply this fixed point result to show the existence of common solution of the system of integral equations.
- PublicationSome fixed point results for dualistic rational contractions(Universitat Politècnica de València, 2016-10-03) Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid[EN] In this paper, we introduce a new contraction called dualistic contraction of rational type and obtain some fixed point results. These results generalize various comparable results appeared in the literature. We provide an example to show the superiority of our results over corresponding fixed point results proved in metric spaces.
- PublicationTripled coincidence and fixed point results in partial metric spaces(Universitat Politècnica de València, 2012-10-01) Aydi, Hassen; Abbas, Mujahid[EN] In this paper, we introduce the concept of W-compatiblity of mappings F : X × X × X ! X and g : X ! X and based on this notion, we obtain tripled coincidence and common tripled fixed point results in the setting of partial metric spaces. The presented results generalize and extend several well known comparable results in the existing literature. We also provide an example to support our results.