Binayak S. Choudhury Binayak S. Choudhury Professor , Mathematics Graduated from Presidency College. Completed his Post graduate degree from the Department of Applied Mathematics, University of Calcutta. Ph.D. from University of Calcutta. Contact Addresses Residence West Bengal, India Phone (office) +91 - 33 - 26684561/62/63 Ext. 217, 525 Mobile +91 - email binayak@.becs.ac.in, binayak12@yahoo.co.in Research Areas Functional Analysis, Topology, Nonlinear Dynamics. Mathematical Economics, Quantum Information theory. Fuzzy systems, Stochastic differential equation. Recent PublicationsSELECTED JOURNAL PUBLICATIONS (2010-2012) : Binayak S. Choudhury, N. Metiya: Fixed points of weak contractions in cone metric spaces, Nonlin. Anal. TMA, 72 (2010), 1589 - 1593. Binayak S. Choudhury, N. Metiya: The point of coincidence and common fixed point for a pair of mappings in cone metric spaces, Comp. and Math. with Appl. 60 (2010), 1686 - 1695. Indranil Bhaumik, Binayak S. Choudhury: Uniform convergence and sequence of maps on a compact metric space with some chaotic properties, Anal. Theory. Appl., 26 (2010), 53-58. Binayak S. Choudhury, A. Kundu: A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlin. Anal., TMA 73 (2010), 2524-2531. Binayak S. Choudhury, A. Kundu: A common fixed point result in fuzzy metric spaces using altering distances, J. Fuzzy. Math., 18 (2) (2010), 517-526. B.S. Choudhury, K.P. Das and P. Das: Coincidence point theorem for asymptotic contraction mapping in fuzzy metric space, J. Math. Comp. Sci. 1 (2010), 167-173. B.S. Choudhury: Weak inequalities with control functions and fixed point results, J. Appl. Math. Inform., 28 (2010), No. 3-4, 967-976. S. Sedghi, B.S. Choudhury and N. Shobe: Unique common fixed point theorem for four weakly compatible mappings in complete fuzzy metric spaces, J..Fuzzy. Math., 18(1) (2010), 161-170. Indranil Bhaumik, Binayak S. Choudhury: Topological conjugate maps and w-chaos in symbol space, Int. J. Appl. Math., 23 (2010), 309-321. Indranil Bhaumik, Binayak S. Choudhury: On Sharkovskii’s Theorem, Int. J. Pure. Appl. Math., 64 (2010), 133-143. Indranil Bhaumik, Binayak S. Choudhury: Some unknown properties of symbolic dynamics, Int. J. Appl. Math., 23 (2010), 441-449. Indranil Bhaumik, Binayak S. Choudhury: A note on the generalized shift map, Gen. Math. Notes., 1 (2010), 154-160. Indranil Bhaumik, Binayak S. Choudhury: A new model of chaotic dynamics-the complemented shift map, J. Physical Sci., 14 (2010), 33-143. Indranil Bhaumik, Binayak S. Choudhury: Some stronger chaotic features of the generalized shift map, Int. J. Pure. Appl. Sci. and Tech., 1 (2010), 79-86. Binayak S. Choudhury, Krishnapada Das and Pradyut Das: Coincidence point theorem asymptotic contraction mapping in fuzzy metric space, J. Math. Comp. Sci 1(2010) 167-173. P.N. Dutta and B.S. Choudhury: A generalized contraction principle in Menger spaces using a control function, Anal. Theory Appl. 26 (2) (2010), 110-121. Binayak S. Choudhury, P. Konar, B. E. Rhoades, N. Metiya: Fixed point theorems for generalized weakly contractive mappings, Nonlin. Anal. TMA, 74 (2011), 2116 – 2126. Indranil Chakrabarty, Nirman Ganguly and Binayak S. Choudhury: Deletion, Bell’s inequality, teleportation, Quantum..Inform. Process, 10 (1) (2011) 27-32 Binayak S. Choudhury, N. Metiya, A. Kundu: Coupled coincidence point theorems in ordered metric spaces, Ann. Univ .Ferrara,(2011), 57 : 1 – 16. Binayak S. Choudhury, N. Metiya: Multivalued and singlevalued fixed point results in partially ordered metric spaces, Arab. J. of Math. Sci. (2011) 17, 135 – 151. Indranil Bhaumik, Binayak S. Choudhury: Chaoticity of the generalized shift map under a strong definition, Int. J. Appl. Math., 24 (2011), 44- 52. Shrabani Banerjee and Binayak.S. Choudhury: Composite Implicit Random Iterations for Approximating Common Random Fixed Point for a Finite Family of Asymtotically Nonexpensive Random Operators, Commum. Korian Math. Soc. 26(2011), 23-35. Indranil Bhaumik, Binayak S. Choudhury, Sequance of Maps in a Metric Space With Some Chaotic Properties, Int. J. Appl. Math., Karpagam University, 2 (2011-2012),332-342. Indranil Bhaumik, Binayak S. Choudhury, Basudeb Mkhopadhyay: A simple proof of the chaoticity of the shift map under a new definition of chaos, Anal. Theory and Appl., 27 (2011). Krishnapada Das, Indranil Bhaumik, Binayak S. Choudhury: A Fixed Point Result by Altering Distance Function, Int. J. Phy. And Soci. Sci., 1 (2011), 136-153. T. Som, B.S. Choudhury and K.P. Das: Two common fixed point results in fuzzy metric spaces, Internat. Rev. Fuzzy. Math., 6 (No. 1-2),(2011) 21-32. B.S. Choudhury, K.P. Das and S.K. Bhandari: A fixed point theorem for Kannan type mappings in 2-Menger space using a control function, Bull. Math. Anal. Appl., 3(2011), 141-148. B.S. Choudhury, K.P. Das and S.K. Bhandari: A generalized cyclic C-contraction principle in Menger space using a control function, Internat. J. Appl. Math. 24 (2011), 663-673. B.S. Choudhury, K.P. Das and S.K. Bhandari: Fixed point theorem for mappings with cyclic contraction Menger spaces, Internat. J. Pure. Appl. Sci. Tech., 4 (2011), 1-9. Indranil Bhaumik, Binayak S. Choudhury: Iterative sequence of maps in a metric space with some chaotic properties, Bull. Math. Anal. And Appl., 1 (2011), 116-122. Binayak S. Choudhury and S. Kundu: Extended ishikawa iteration and its convergence to a coincidence point, Internat.Rev. Pure. Appl.Math., 7 (2011) no.-1, 47-56. Shrabani Banerjee, B.S.Choudhury: Weak and strong convergence theorems of a new iterative process with errors for common fixed points of a finite families of asymptotically nonexpansive mappings in the intermediate sense in Banach spaces, J. Math. Comp. Sci. .3, (2011) 306 – 317. Binayak S. Choudhury, N. Metiya: Fixed point theorems for almost contractions in partially ordered metric spaces, Ann Univ Ferrara (2011) , DOI 10.1007/s11565-011-0144-2. Shrabani Banerjee and Binayak.S. Choudhury: Composite Implicit Random Iterations for Approximating Common Random Fixed Point for a Finite Family of Strictly Pseudocontractive Random Operators, Gen. Math. Notes, 5(2011) 34-41. Indranil Bhaumik, Binayak S. Choudhury: Totally transitive maps – a short note, Gen. Math. Notes, 3(2011).80-83. B.S. Choudhury, S. Kutukcu and K.P. Das: On fixed points in non-Archimedean Menger PM space, Kochi J. Math. 7 (2012), 41-50. Binayak S. Choudhury, A. Kundu: On coupled generalized Banach and Kannan type contractions, J. Nonlin. Sci. Appl., 5 (2012), 259-270. B.S. Choudhury, S. Kundu: A viscosity type iteration by weak contraction for approximating solutions of generalized equilibrium problem, J. Nonlin. Sci. Appl. 5 (2012), 243-251. B.S. Choudhury, K.P. Das and S.K. Bhandari: Fixed points of p-cyclic Kannan type contractions in probabilistic spaces, J. Math. Comput. Sci. 2 (2012) , 565-583. N. Shobe, S. Sedghi and B.S. Choudhury: Relation between metric and fuzzy metric spaces and some fixed point theorems, J. Appl. Math. and Inform. , 30 (2012) no. 1-2, 265-278. Binayak S. Choudhury, A. Kundu: ( ) weak contractions in partially ordered metric spaces, Appl. Math. Lett., 25 (2012), 6-10. Binayak S. Choudhury, N. Metiya: Fixed point and common fixed point results in ordered cone metric spaces, Anal. Stiintifice Universitatii Ovidius Constanta, Seria Matematica, 20(2012),55-72. Binayak S. Choudhury, Erdal Karapiner and Amaresh Kundu: Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces, Internat. J. Math. Math. Sci., 2012(2012), Article id 329298,14 pages. B.S. Choudhury, K.P. Das and P. Das: Extentions of Banach's and Kannan's results in fuzzy metric spaces, Commun. Korean. Math. Soc. 27(2012), 265-277. I. Bhaumik, K.P. Das, N. Metia and B.S. Choudhury: A coincidence point result by using altering distance function, J. Math. Comput. Sci., 2 (2012), 61-72. Binayak S. Choudhury, Sanjay Kumar, Asha and Krishnapada Das: Some fixed point theorems in G-metric spaces, Math. Sci. Lett. 1, (2012) 25-31. Ali Abkar and Binayak S. Choudhury: Fixed Point Results in partially ordered metric spaces using weak contractive inequalities, Facta Universitatis(NISfv). Math. Inform. 27(2012), 1-11. B.S. Choudhury, K.P. Das and P. Das: Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces, Fuzzy Sets and Systems, (2012)http://dx.doi.org/10.1016/j.fss.2012.07.012. B.S. Choudhury and K.P. Das: A fixed point theorem in generalized Menger spaces, Thai J. Math. 10 (2012), 265-277 B.S. Choudhury, K.P. Das and S.K. Bhandari: Generalized cyclic contraction in Menger spaces using a control function, Rev. Bul. Cal.Math. Soc.(Accepted for publication). B.S. Choudhury, K.P. Das and S.K. Bhandari: Cyclic contraction of Kannan type mappings in generalized Menger space using a control function, Azerbaijan J. Math.(Accepted for publication). B.S. Choudhury, K.P. Das and S.K. Bhandari: A fixed point theorem in 2-Menger space using a control function, Bull.Cal. Math. Soc. (Accepted for publication). B.S. Choudhury, K.P. Das and S.K. Bhandari: A generalized probabilistic contraction principle, J. Contemp. Math.(Accepted for publication). Indranil Bhaumik, Binayak S. Choudhury: Sequence of maps in the strongly iterative way on a compact metric space and chaos of the uniform limit function in the iterative way, J. Math. Comp. Sci, (Accepted for publication). Binayak S. Choudhury, A. Kundu: A Kannan like contraction in partially ordered spaces, Demonestratio Math., (Accepted for publication). B.S. Choudhury and K.P. Das: Common fixed point results for R-weakly commuting mappings in probabilistic symmetric spaces using control functions, J. Nonlin. Sci. Appl. (Accepted for publication). B.S. Choudhury, K.P. Das and S.K. Bhandari: Two Ciric type probabilistic fixed point theorems for discontinuous mappings, Internat. Elect. J. Pure. Appl. Math.(Accepted for publication). C. T. Aage, B. S. Choudhury and K.P. Das: Some fixed point results in fuzzy metric spaces in using a control function, Surveys Math. Appl. (Accepted for publication). B.S. Choudhury, K.P. Das and P. Das: Common fixed point for a sequence of mappings in fuzzy metric spaces, J. Math. and Comp. Sci. (Accepted for publication). T. Som • B. S. Choudhury • Amaresh Kundu •Lokesh Kumar, Common fixed point results for family of mappings under T-weak reciprocal continuity, Ann Univ Ferrara, DOI 10.1007/s11565-012-0167-3. B.S. Choudhury and N. Metiya,coincidence and fixed point theorems in partially ordered cone metric spaces J.Adv.Math.Stud.5 (2012),20-31. B. S. Choudhury and A. Kundu, Two coupled weak contraction theorems in metric spaces with partial ordering, Revista de la Real Academia de Ciencias Exactas, Fsicas y Naturales. Serie A. Matemticas, (Accepted). Courses Undertaken Department of Mathematics, BESU, Shibpur - 7111 03, INDIA