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Browsing Research Articles (University of Pretoria) by UP Author "Abbas, Mujahid"
Now showing items 1-20 of 97
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Khan, Safeer Hussain; Abbas, Mujahid (SpringerOpen, 2014)The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued ...
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Abbas, Mujahid; Murtaza, Ghulam; Smarandache, Florentin (University of New Mexico, 2020)The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic operations like union, intersection and difference of hypersoft sets; basic ingrediants for topological structures on the ...
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Hussain, Azhar; Abbas, Mujahid; Adeel, Muhammad; Kanwal, Tanzeela (Department of Mathematics, 2020)Berinde introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost Θ- contraction mappings and to prove some ...
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Saleem, Naeem; Abbas, Mujahid; Farooq, Sadia (Mathematical Association of Thailand, 2022-06)In this paper we define a new class of mappings called (θ, α+)- proximal admissible contractions and obtain a unique best proximity point for such mappings in the setting of complete generalized metric space. Our result ...
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Alolaiyan, Hanan; Ali, Basit; Abbas, Mujahid (Ovidius University, Constanta, 2019)The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented ...
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Coincidence best proximity point of F-g-weak contractive mappings in partially ordered metric spaces Latif, Abdalla A.; Abbas, Mujahid; Hussain, Azhar (International Scientific Research Publications, 2016)The aim of this paper is to present coincidence best proximity point results of Fg-weak contractive mappings in partially ordered metric space. Some examples are presented to prove the validity of our results.
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Abbas, Mujahid; Ali, Basit; Romaguera, Salvador (Reza Saadati, 2015)Recently Abbas [M. Abbas, Coincidence points of multivalued f−almost nonexpansive mappings, Fixed Point Theory, 13 (1) (2012), 3–10] introduced the concept of f−almost contraction which generalizes the class of multivalued ...
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Aghajani, Asadollah; Abbas, Mujahid; Roshan, Jamal Rezaei (University of Nis, 2014)In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings ...
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Rahimi, Hamidreza; Abbas, Mujahid; Rad, Ghasem Soleimani (University of Nis, Serbia, Faculty of Sciences and Mathematics, 2015)A vector metric space is a generalization of a metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces. Obtained results extend ...
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Hussain, Nawab; Roshan, Jamal Rezaei; Parvaneh, Vahid; Abbas, Mujahid (SpringerOpen, 2013-11)We first introduce a new concept of b-dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences in ...
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Öztürk, Mahpeyker; Abbas, Mujahid; Girgin, Ekber (SpringerOpen, 2016-02-17)In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular ...
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Common fixed point results of generalized almost rational contraction mappings with an application Hussain, Nawab; Isik, Huseyin; Abbas, Mujahid (International Scientific Research Publications, 2016)In this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of self mappings on a complete metric space. Several common xed point results for such mappings are proved. Our ...
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Anjum, Rizwan; Abbas, Mujahid (University of Nis, Serbia, Faculty of Sciences and Mathematics, 2021)The purpose of this paper is to introduce the class of (a; b; c)-modified enriched Kannan pair of mappings (T; S) in the setting of Banach space that includes enriched Kannan mappings, contraction and nonexpansive mappings ...
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Aydi, Hassen; Abbas, Mujahid; Vetro, Calogero (Springer, 2014-09)We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric ...
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Abbas, Mujahid; Ali, Sartaj; Kumam, Poom (SpringerOpen Journal, 2014-02)The purpose of this paper is to study the existence and uniqueness of common fixed point results in partially ordered modular function spaces.
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Abbas, Mujahid; Iqbal, Hira; De la Sen, Manuel (Hindawi, 2019-03-26)We present the notion of set valued rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the ...
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Common fixed points of generalized rational type cocyclic mappings in multiplicative metric spaces Abbas, Mujahid; De la Sen, Manuel; Nazir, Talat (Hindawi Publishing, 2015)The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point ...
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Khan, Safeer Hussain; Abbas, Mujahid (SpringerOpen, 2014-09)In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). ...
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Nazir, Talat; Abbas, Mujahid (SpringerOpen, 2014-12)In this paper, we present common coincidence and common fixed point results for two pairs of mappings that satisfy the (E.A)-property in the setup of partial metric spaces. Some examples are given to validate the concepts ...
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Chandok, S.; Khan, M.S.; Abbas, Mujahid (Springer, 2014-09)Some common fixed-point results for mappings satisfying a nonlinear weak contraction condition within the framework of ordered metric spaces are obtained. The accumulated results generalize and extend several comparable ...
Now showing items 1-20 of 97