iosr-Jm   Volume-11 ~ Issue-5 ~ Sep-Oct 2015

Abstract: In this paper, we prove some fixed point theorems in complete G-Metric Space for self mapping satisfying various contractive conditions. We also discuss that these mapping are G- continuous on such a fixed point.

Keywords: G-Metric Spaces, Fixed Point, G-convergent.

[1] S. Gahler, 2-metriche raume und ihre topologische strukture, Math. Nachr., 26(1963), 115-148

[2] S. Gahler, Zur geometric 2-metriche raume, Revue Roumaine de Math.Pures et Appl. 11(1996), 664-669.

[3] B.C. Dhage Generalized metric space and mapping with fixed point, Bull. Cal. Math. Soc., 84(1992), 329-336.

[4] B.C. Dhage, Generalized metric space and topological structure I, An. Stint. Univ. Al.I. Cuza Iasi. Math (N.S), 46(2000), 3-24.

[5] Z. Mustafa and B. Sims, "A new approach to generalized metric spaces," Journal of Nonlinear and Convex Analysis, vol. 7, no. 2, pp. 289–297, 2006.

[6] Z. Mustafa, H. Obiedat, and F. Awawdeh, Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl. Volume 2008, Article ID 189870, 12.pages, 2008

Abstract:In this paper we introduce a fuzzy transportation problem (FTP) in which the values of transportation costs are represented by generalized hexagonal fuzzy numbers. Here the FTP is converted to crisp one by ranking function of fuzzy numbers. The initial basic feasible solution and optimal solutions are derived without solving the original FTP. Hence it reduces the computational complexity of deriving the solutions.
Keywords: Fuzzy Transportation Problem, Generalized Hexagonal Fuzzy Number, Ranking Index, Optimal Solution

[1]. Zadeh.L.A., "Fuzzy sets", Information and Control, 8, (1965) , 338-353.
[2]. Pandian.P. and Natarajan.G., A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problem, Applied Mathematical Sciences, 4(2), 2010, 79-90.
[3]. S.H.Chen , Operations on fuzzy numbers with function principle , Tamkang Journal of Management Sciences, 6, 1985, 13-25
[4]. A.Kaur, A.Kumar , A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers, Applied soft computing, 12(3),2012 ,1201-1213.
[5]. A.Kaur, A.Kumar , A method for solving fuzzy transportation problems using ranking function, Applied Mathematical Modelling,
[6]. 35(12),2011, 5652-5661.

Abstract: In this paper we have to prove a general version of the chebyshev inequality for the Sugeno Integral type of intuitionistic fuzzy valued function with respect to intuitionistic fuzzy valued fuzzy measure and also present a Carlson type inequality for the generalized Sugeno Integral.

Keywords: Intuitionistic fuzzy value, fuzzy measure, fuzzy Integral, Integral in equality, Sugeno Integral, Capacity, Carlson inequality, Shilkret Integral

[1]. B a n, A. I., I. F e c h e t e. Component wise Decomposition of some lattice Fuzzy Integrals. – Information Sciences, 177, 2007, 1430-1440.
[2]. B a n, A. I. Intuitionistic Fuzzy Measures: Theory and Applications. New York, Nova Science, 2006.
[3]. D.S. Mitrinović, J.E. Pečarić, A.M. Fink, Inequalities Involving Functions and their Integrals and Derivatives, Kluwer, Dordrecht, 1991.
[4]. F. Durante, C. Sempi, Semicopulae, Kybernetika 41 (2005) 315–328.
[5]. F l o r e s - F r a n u l i ˇc, A., H. R o m á n-F l o r e s. A Chebyshev Type Inequality for Fuzzy Integrals. –In: Applied Mathematics and Computation, 190, 2007, 1178- 1184.
[6]. H. Agahi, R. Mesiar, Y. Ouyang, On some advanced type inequalities for Sugeno integral and T-(S-)evaluators, Information Sciences 190 (2012) 64–75.

Abstract:Attitude is an integral factor in determining the success of students in mathematics. This work is a quantitative study which explores the correlation between students' attitude towards mathematics and students achievement in mathematics in Federal College of Freshwater Fisheries Technology, New Bussa, Niger State, Nigeria. It compares the attitude and achievement of male and female students in mathematics and also compares their attitude and achievement by level. Sample of the study was 121 students (male = 91 and female = 30) drawn fromPre-ND, ND and HND in FCFFT, New Bussa. Questionnaire method was used to gather data on the attitudes of the students and secondary data was collected on the achievement of the students in mathematics.SPSS 17.0 statistical program was used to analyze the data in this study.

[1] Okafor, Chinyere F., and Uche S. Anaduaka (2013): "Nigerian School Children and Mathematics Phobia: How the Mathematics Teacher Can Help." American Journal of Educational Research 1(7), 247-251.

[2] Bishop, A. J. (1996): International handbook of mathematics education. Springer.

[3] Sabita Mahanta et al (2012): Attitude of Secondary Students towards Mathematics and its Relationship to Achievement in Mathematics. Int.J.Computer Technology & Applications,Vol 3 (2), 713-715. ISSN:2229-6093.

[4] Muhammad S. F. and Syed Z. S. (2008): Students attitude towards mathematics. Pakistan Economic and Social ReviewVolume 46, No. 1 (Summer 2008), pp. 75-83.

[5] M.K. Akinsola and F.B. Olowojaiye (2008): Teacher instructional methods and student attitudes towards mathematics. International Electronic Journal of Mathematics Education. Volume 3, number 1. Pp. 61-73.

[6] Schreiber, J.B. (2000). Advanced mathematics achievement: A hierarchical linear model, PhD Dissertation, Indiana University, Retrieved from wwwlib.umi.com/dissertations/results.

Abstract: The object of this paper is to study some curvature property of para-sasakian manifold with quarter symmetric metric connection and also we establish some theorems of different kinds of curvature tensor.

Keywords: Para-sasakian manifold, Quarter-symmetric meric connection, conformal, conharmonic, concircular, projective , pseudo projective, m-projective and Ricci curvature tensor.

[1] A.A.Shaikh and S.K.Jana, Quarter symmetric metric connection on a    contact metric manifold, Commun. Fac.
Sci.Univ.Ank.Series A1, 55, 2006, 33-45.
[2] A.K.Mondal and U.C.De, Some properties of a quarter symmetric metric connection on a sasakian manifold, Bull. Math. Analysis
Appl., 1(3), 2009, 99-108.
[3] D.G.Prakasha, On   symmetric Kenmotsu manifold with respect to quarter symmetric metric connection, Int. Electronic J.Geom,
4(1), 2011, 88-96.
[4] K.Yano and T. Imai, , Quarter symmetric metric connection and their curvature tensor, Tensors, N.S, 38, 1982, 13-18.
[5] Kumar, K.T. Pradeep, Venkatesh, and C.S.Bagawadi, On   recurrent Para-sasakian manifold admitting quarter symmetric metric
connection, ISRN Geometry, 2012, Article ID 317253.
[6] N.Pusic, On quarter symmetric metric connections on a hyperbolic Kaehlerian space, Publ. De L'Inst. Math.(Beograd), 73(87),
2003, 73-80.

Abstract: Graph theory has its origin with the Konigsberg Bridge Problem. A graph labeling is a one to one function that carries a set of elements onto a set of integers called labels. This paper discusses various graph labelings that can be assigned and few other graph labelings that can not be assigned to the Konigsberg bridge problem. AMS MSC Classification: 05C78

Keywords: Konigsberg bridge problem; labeling;bijective function.

[1] Charistian Barrientos,Graceful Graphs With Pendent Edges, Australasian Journalof Combinatorics, 33(2005), 99-107 [2] DushyantTanna, Harmonious labeling of certain graphs, International Journal of Advanced Engineering Research and Studies ,2(2013), 46-48 [3] Frank Harary, Graph Theory, Narosa Publishing House, New Delhi (2001) [4] Joseph A. Gallian, A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinatorics 18 (2011), #DS6 [5] Krishnappa. H.K., Kishore Kothapalli and Venkaiah V. Ch., Vertex Magic Total Labeling For Complete Graphs, International Institute of Information Technology, Hyderabad, AKCE J.Graphs.Combin.,6,(2009),143-154 [6] Murugesan.N, SenthilAmutha.R, Vertex bimagic Total labeling for bistar Bn,m. ,International Journal of Scientific and Innovative Mathematical Research, 2,(2014),764-769 [7] Ulaganathan.P,Thirusangu .K,Selvam .B, Super Edge Magic Total Labeling In Extended Duplicate Graph of Path, Indian Journal of Science and Technology, 4(2011),590-592 [8] Vaidya S.K and N. B. Vyas, Antimagic Labeling of Some Path and Cycle Related Graphs, Annals of Pure and Applied Mathematics, 3(2013), 119-128 [9] Vaidya S.K,Kanani K.K, Prime Labeling For Some Cycle Related Graphs, Journal of Mathematics Research, 2(2010), 98-103

Abstract: In this paper, we investigate prime near – rings with generalized (σ, σ)- n-derivations satisfying certain differential identities . Consequently, some well known results have been generalized.

Keywords: prime near-ring, (σ,τ)- n-derivations, generalized (σ,τ)- n-derivations, generalized (σ,σ)-n-derivations

[1]. G. Pilz.1983. Near-Rings. Second Edition. North Holland /American Elsevier. Amsterdam
[2]. X.K. Wang. 1994. Derivations in prime near-rings. Proc. Amer. Math.Soc. 121 (2). 361–366.
[3]. M. Ashraf, A. Ali and S. Ali. 2004. (σ,τ)-Derivations of prime near-rings. Arch. Math. (BRNO) 40. 281–286.
[4]. Y. Ceven and M. A. ¨Ozt¨urk. 2007. Some properties of symmetric bi-(σ,τ)-derivations in near-rings,Commun.Korean Math.Soc.22(4). 487–491.
[5]. M. A. Öztürk and H. Yazarli.2011. Anote on permuting tri-derivation in near-ring, Gazi Uni. J. Science 24(4). 723–729.
[6]. K. H. Park. 2009. On prime and semiprime rings with symmetric n-derivations. J. Chungcheong Math.Soc.22(3). 451–458.
[7]. M. Ashraf and M. A. Siddeeque. 2013. On permuting n-derivations in near-rings. Commun. Korean Math.Soc.28(4). 697–707.
[8]. M. Ashraf and M. A. Siddeeque. 2013. On (σ,τ)- n-derivations in near-rings. Asian-European Journal of Mathematics .Vol. 6. No. 4. 1350051 (14pages).

Abstract: In this paper, we examine the application of Pontryagin's maximum principles and Runge-Kutta methods in finding solutions to optimal control problems. We formulated optimal control problems from Geometry, Economics and physics. We employed the Pontryagin's maximum principles in obtaining the analytical solutions to the optimal control problems. We further tested the numerical approach to these optimal control problems using Runge-Kutta methods. The results show that the Runge-Kutta method produced results that are comparable to analytic solutions. Therefore, we concluded that Runge-Kutta method gives error that is negligible.

[1] Borchardt, W.G. and Perrott, A.O, New Trigonometry for Schools, G.Bell and Sons Limited, London, 1959, 9-9.
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Abstract:In this paper we study the fuzzy measure, fuzzy integral and prove some new properties of them. Also we discuss the relation between the types of fuzzy measures and fuzzy integration. Finally we prove the Radon- Nikodym theorem on fuzzy measure space
Keywords: Fuzzy Measure, Fuzzy Integral , fuzzy signed measure.

[1] Ash, R.B," Probability and Measure Theory " second edition, 2000, London
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Abstract: This paper presents solution technique of geometric programming with fuzzy parameters to solve structural model. Here we are considered all fuzzy parameters as a generalized fuzzy number i.e. generalized triangular fuzzy number and generalized trapezoidal fuzzy number. Here material density of the bar, permissible stress of each bar and applied load are fuzzy numbers. We use geometric programming technique to solve structural problem. The structural problem whose aim is to minimize the weight of truss system subjected to the maximum permissible stress of each member. Decision maker can take the right decisions from the set of optimal solutions. Numerical examples are displayed to illustrate the model utilizing generalized fuzzy numbers.
Keywords - Structural optimization, Generalized fuzzy number, Geometric programming

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