Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Existence of best proximity and fixed points in $G_p$-metric spaces155168542478ENS. RatheeDepartment of Mathematics, Maharshi Dayanand University, Rohtak, IndiaK. DhingraDepartment of Mathematics, Maharshi Dayanand University, Rohtak, IndiaJournal Article20171013In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spaces. We also provide examples to analyze and support our results.http://jlta.iauctb.ac.ir/article_542478_2c2b610e897eb0d07b0f31095ca5d0ec.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Some local fixed point results under $C$-class functions with applications to coupled elliptic systems169182542479ENA. Hojat AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranA. BenterkiLAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria0000-0001-9060-4737M. RouakiLAMDA-RO Laboratory, Department of Mathematics, University of Blida, AlgeriaJournal Article20171231The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions.http://jlta.iauctb.ac.ir/article_542479_7d7ea568363949fab2cb603f4a0a075f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space183199542480ENM. E. SameiDepartment of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran0000-0002-5450-3127Journal Article20180212In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work, we introduce the concept of $A$-fuzzy contractive mappings. Finally, we support our results by some examples.http://jlta.iauctb.ac.ir/article_542480_efde021b03bb718544f2bbcb3b3a118d.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions201218542481ENS. K. MohantaDepartment of Mathematics, West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, IndiaD. BiswasDepartment of Mathematics, West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, IndiaJournal Article20180505In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.http://jlta.iauctb.ac.ir/article_542481_acdc89da76e4df7ce3a1758ed12c9a35.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Some fixed point results for contractive type mappings in b-metric spaces219231542800ENI. EroğluDepartment of Mathematics, Ordu University, Altinordu 52200 Ordu, TurkeyJournal Article20180428In this work, we prove some fixed point theorems by using $wt$-distance on b-metric spaces. Our results generalize some fixed point theorems in the literature. Moreover, we introduce $wt_0$-distance and by using the concept of $wt_0$-distance, we obtain some coupled fixed point results in complete b-metric spaces.http://jlta.iauctb.ac.ir/article_542800_258e3cb301548d5df16adfc2930d8bae.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces233244543020ENN. TAŞDepartment of Mathematics, Bali kesir University, 10145 Balikesir, Turkey0000-0002-4535-4019Journal Article20180326In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction and a Suzuki-Berinde type $F_{C}^{S}$-contraction are introduced on a $S$-metric space. Using these new notions, a fixed-point theorem is proved on a complete $S$-metric space and a fixed-circle theorem is established on a $S$-metric space. Some examples are given to support the obtained results.http://jlta.iauctb.ac.ir/article_543020_789f9e78ff07d3222d659081f03067d7.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901$ b-(varphi, Gamma)-$graphic contraction on metric space endowed with a graph245250543269ENSh. MirzaeeDepartment of Mathematics, Karaj Branch, Islamic Azad University, Alborz, IranM. Eshaghi GordjiDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranJournal Article20180521In this paper, we introduce the $ b-(varphi, Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,delta)$ is a metric space, and $V(Gamma)$ is the vertices of $Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example to show that our results generalize some known results.http://jlta.iauctb.ac.ir/article_543269_af9dfc9bce7ff45a030476a15eae4138.pdf