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Effect Of Different Sugars On Shoot Regeneration Of Maize (Zea Mays L.)
Get PDFEffect of various concentrations of different sugars was investigated for induction of root and shoot from maize. The seedling development was induced with the application of fructose, maltose and sucrose at different concentrations (0.25%, 0.5%, 0.75%, 1.0%, 2.5%, 5%, and 10%) of each. Dissected embryos were transferred in ½ MS basal media fortified with various concentrations of different carbon sources. In vitro regenerated maize plantlets were healthy and attained a length of 12.2 cm at 1.0 % concentration in maltose within a week. Out of three sugars low concentration (0.25%- 2.5%) of maltose and sucrose exhibited the maximum shoot and root growth. All the concentrations of maltose and sucrose showed the good growth response of shoot and root
Approximation of functions belonging to LIP (α, p) class by (E, 1)(N,pn) means of its fourier series
No full textThe present paper deals with approximation of a function belonging to the Lip (α, p) class by product summability method. Here product of Euler (E,1) summability method and Nörlund (N, pn) method has been taken. A new estimate on degree of approximation of a function f belonging to Lip (α, p) class has been determined by (E,1) (N, pn) summability of a Fourier series
Common fixed point theorems for occasionally converse commuting mappings in symmetric spaces
Get PDFIn this paper, we introduce the notion of occasionally converse commuting (occ) mappings. Every converse commuting mappings ([1]) are (occ) but the converse need not be true (see, Ex.1.1-1.3). By using this concept, we prove two common fixed point results for a quadruple of self-mappings which satisfy an implicit relation. In first result one pair is (owc) [5] and the other is (occ), while in second result both the pairs are (occ). We illustrate our theorems by suitable examples. Since, there may exist mappings which are (occ) but not conversely commuting, the Theorems 1.1[2], 1.2[2] and 1.3[3] fails to handle those mapping pairs which are only (occ) but not conversely commuting (like Ex.1.4). On the other hand, since every conversely commuting mappings are (occ), so our Theorem 3.1 and 3.2 generalizes these theorems and the main results of Pathak and Verma [6]-[7]  
AN efficient algorithm for the bottleneck product rate variation problem with precedence constraints
Get PDFWe consider the problem of obtaining an optimal mixed-model sequence under the just-in-time environment. Industrial applications include the production planning, real-time scheduling, response time variability and networking. The single-level problems are already solved, but they are strongly NP-hard in the multi-levels. Here, we study a bottleneck product rate variation problem with a general objective where a given set of sequences serves as chain constraints. We extend the previous result of a similar problem with min-max deviation objective in single- level. We present a pseudo-polynomial algorithm that obtains an optimal solution for the considered objective. The results are valid for precedence constraints
Generalized contraction mapping in probabilistic metric space
Get PDFThe probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed point results
Weakly compatible maps in fuzzy metric spaces
Get PDFIn this paper, we prove common fixed point theorems for six self maps by using weakly compatibility, without appeal to continuity in fuzzy metric space. Our results extend, generalized several fixed point theorems on metric and fuzzy metric spaces.  
Common fixed points under Lipschitz type condition
Get PDFThe present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved
A fixed point theorem in Menger space
Get PDFThe purpose of this paper is to introduce the concept of weakly compatible maps in Menger space and prove a common fixed point theorem in this space.
2010 Mathematics Subject Classification: 54H25
Some common fixed point theorems in fuzzy metric spaces using compatible of type A-1 and A-2
Get PDFRecently M. S Khan, H. K. Pathak and R. George [9] have been introduced the concept of compatible of type A − 1 and type A − 2 and obtained some common fixed point theorems in fuzzy metric spaces. In this connection we have proved some common fixed point theorems in fuzzy metric space using semicompatible mappings
Fixed point theorems on expansion type maps in intuitionistic fuzzy metric space
Get PDFEver since the introduction of fuzzy sets by Zadeh [1] , the fuzzyness invaded almost all the branches of crisp mathematics. Deng [3] kaleva and Seikalla [2] and Kramosil and Michalek [5]Have introduced the concept of fuzzy metric space, George and Veeramani [4] modified the concept of fuzzy metric space introduced by kramosil and michalek [5]. In thia paper effort has been made to obtain some results on fixed points of expansion type mapping in Intuitionistic fuzzy metric spac