Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results of a New Family of Hybrid Contractions in Generalised Metric Space With Applications(Amer inst Mathematical Sciences-aims, 2022) Jiddah, Jamilu Abubakar; Noorwali, Maha; Shagari, Mohammed Shehu; Rashid, Saima; Jarad, FahdIn this manuscript, a novel general family of contraction, called hybrid-interpolative ReichIstrat,escu-type (G-alpha-mu)-contraction is introduced and some fixed point results in generalised metric space that are not deducible from their akin in metric spaces are obtained. The preeminence of this class of contraction is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, a number of corollaries that reduce our result to other wellknown results in the literature are highlighted and analysed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for solution of a family of integral equations.Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results in C*-Algebra Bipolar Metric Spaces With an Application(Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Isik, Huseyin; Jarad, Fahd; Mani, GunaseelanIn this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on C*-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented.Article Citation - WoS: 22Citation - Scopus: 25New Approach on Controllability of Hilfer Fractional Derivatives With Nondense Domain(Amer inst Mathematical Sciences-aims, 2022) Jothimani, Kasthurisamy; Ravichandran, Chokkalingam; Baleanu, Dumitru; Kumar, Devendra; Nisar, Kottakkaran SooppyThis work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Winch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.Article Citation - WoS: 2Citation - Scopus: 2Fixed Point Theorems for Controlled Neutrosophic Metric-Like Spaces(Amer inst Mathematical Sciences-aims, 2022) Ishtiaq, Umar; Saleem, Naeem; Ahmad, Khaleel; Jarad, Fahd; Uddin, FahimIn 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.Article Citation - WoS: 7Citation - Scopus: 7Interpolative Contractions and Intuitionistic Fuzzy Set-Valued Maps With Applications(Amer inst Mathematical Sciences-aims, 2022) Rashid, Saima; Jarad, Fahd; Mohamed, Mohamed S.; Shagari, Mohammed ShehuOver time, the interpolative approach in fixed point theory (FPT) has been investigated only in the setting of crisp mathematics, thereby dropping-off a significant amount of useful results. As an attempt to fill up the aforementioned gaps, this paper initiates certain hybrid concepts under the names of interpolative Hardy-Rogers-type (IHRT) and interpolative Reich-Rus-Ciric type (IRRCT) intuitionistic fuzzy contractions in the frame of metric space (MS). Adequate criteria for the existence of intuitionistic fuzzy fixed point (FP) for such contractions are examined. On the basis that FP of a single-valued mapping obeying interpolative type contractive inequality is not always unique, and thereby making the ideas more suitable for FP theorems of multi-valued mappings, a few special cases regarding point-to-point and non-fuzzy set-valued mappings which include the conclusions of some well-known results in the corresponding literature are highlighted and discussed. In addition, comparative examples which dwell on the generality of our obtained results are constructed.Article Citation - WoS: 8Citation - Scopus: 6Discussion on the Hybrid Jaggi-Meir Type Contractions(Amer inst Mathematical Sciences-aims, 2022) Fulga, Andreea; Karapinar, ErdalIn this paper, the notion of hybrid Jaggi-Meir-Keeler type contraction is introduced. The existence of a fixed point for such operators is investigated. The derived results combine and extend a number of existing results in the corresponding literature. Examples are established to express the validity of the obtained results.Article Citation - WoS: 4Citation - Scopus: 4Solving an Integral Equation Via Orthogonal Generalized Α-Ψ Contractions(Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Mani, Gunaseelan; Jarad, Fahd; Prakasam, Senthil KumarIn this paper, we introduce orthogonal generalized O-alpha-psi-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O -b-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.Article Citation - WoS: 5Citation - Scopus: 4Existence Results for Coupled Differential Equations of Non-Integer Order With Riemann-Liouville, Erdelyi-Kober Integral Conditions(Amer inst Mathematical Sciences-aims, 2021) Hemalatha, S.; Duraisamy, P.; Pandiyan, P.; Muthaiah, Subramanian; Baleanu, DumitruThis paper proposes the existence and uniqueness of a solution for a coupled system that has fractional differential equations through Erdelyi-Kober and Riemann-Liouville fractional integral boundary conditions. The existence of the solution for the coupled system by adopting the Leray-Schauder alternative. The uniqueness of solution for the problem can be found using Banach fixed point theorem. In order to verify the proposed criterion, some numerical examples are also discussed.