FIXED FUZZY POINT THEOREMS IN FUZZY METRIC SPACE

In this paper, we have established some fixed fuzzy point theorems and common fixed fuzzy point theorems for fuzzy mappings satisfying a contractive type condition other than fuzzy Banach contractive type condition in complete fuzzy metric spaces.2010 Mathematics Subject Classifications: 47H10, 54E35, 54A40Kathmandu UniversityJournal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page: 34-49

Common fixed point theorem for four mappings satisfying generalized weak contractive condition

Contractive conditions introduced in (Q. Zhang and Y. Song, Fixed point theory for generalized ?-weak contraction, Appl. Math. Lett. 22(2009), 75-78) and (D. Djoric, Common fixed point for generalized (?, ?)-weak contractions, Applied Mathematics Letters, 22(2009), 1896-1900) are employed to obtain a new common fixed point theorem for four maps. Our result substantially generalizes comparable results in the literature. 2010 Mathematics Subject Classifications. 47H10. .

Detour index of a class of unicyclic graphs

The detour index of a connected graph is defined as the sum of detour distances between all unordered pairs of vertices. We determine the n-vertex unicyclic graphs whose vertices on its unique cycle all have degree at least three with the first, the second and the third smallest and largest detour indices respectively for n ? 7. 2010 Mathematics Subject Classifications. 05C12, 05C35, 05C90. .

New bounds for the Cebysev functional of two functions of selfadjoint operators in Hilbert spaces

Some new inequalities for the Cebysev functional of two functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved functions and operators, are given. 2010 Mathematics Subject Classifications. 47A63; 47A99. .

Global approximation properties of modified SMK operators

In this paper, introducing a general modification of the classical Sz?sz-Mirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented. 2010 Mathematics Subject Classifications. 41A25, 41A36. .

Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators

In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained. 2010 Mathematics Subject Classifications. Primary 30C45; Secondary 30C80. .

Dynamics of Gilpin-Ayala competition model with random perturbation

In this paper we study the Gilpin-Ayala competition system with random perturbation which is more general and more realistic than the classical Lotka-Volterra competition model. We verify that the positive solution of the system does not explode in a finite time. Furthermore, it is stochastically ultimately bounded and continuous a.s. We also obtain certain results about asymptotic behavior of the stochastic Gilpin-Ayala competition model. 2010 Mathematics Subject Classifications. 60H10, 34K50. .

Lacunary series in mixed norm spaces on the ball and the polydisk

We characterize lacunary series in mixed norm spaces on the unit ball Bn in Cn and on the unit polydisk Dn in Cn. 2010 Mathematics Subject Classifications. 32A36, 32A37. .

Asymptotic curvature bounds for conformally flat metrics on the plane

The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the case that the conformal factor is of finite order, it is shown that one can improve this decay rate. 2010 Mathematics Subject Classifications. 53C21, 31A05. .

Classification of the crossed product C(m) × θZp for certain pairs (M, θ)

Let M be a separable compact Hausdorff space with dim M ? 2 and ? : M ? M be a homeomorphism with prime period p (p ? 2). Set M? = {x ( M|?(x) = x} = ( and M0 = M\M? . Suppose that M0 is dense in M and H2(M0/?, Z) ( 0, H2(?(M0/?), Z) ( 0. Let M' be another separable compact Hausdorff space with dim M' ? 2 and ?' be the self-homeomorphism of M' with prime period p. Suppose that M'0 = M'\M'?' is dense in M'. Then C(M) ? ?Zp ( C(M') ? ?'Zp if there is a homeomorphism F from M/? onto M'/?' such that F(M?) = M'?'. Thus, if (M, ?) and (M', ?') are orbit equivalent, then C(M) ? ?Zp ( C(M') ? ?'Zp. 2010 Mathematics Subject Classifications. 46L05. .