We define L-contraction mapping in the setting of D-metric spaces analogous to L-contraction mappings [1] in complete metric spaces. Also, give a definition for general D- matric spaces.And then prove the existence of fixed point for more general class of mappings in generalized D-metric spaces.
The purpose of this paper, is to study different iterations algorithms types three_steps called, new iteration,
Throughout this paper, a generic iteration algorithm for a finite family of total asymptotically quasi-nonexpansive maps in uniformly convex Banach space is suggested. As well as weak / strong convergence theorems of this algorithm to a common fixed point are established. Finally, illustrative numerical example by using Matlab is presented.
In this paper, we show that for the alternating group An, the class C of n- cycle, CC covers An for n when n = 4k + 1 > 5 and odd. This class splits into two classes of An denoted by C and C/, CC= C/C/ was found.
In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved
This study was aimed to investigate the protective effect of vitamin D on L-arginine induced acute pancreatitis in rats. Twenty eight white Albino rats of both sexes were divided into 4 equal groups. Negative control rats (group I) intra-peritoneally injected with normal saline, positive control (group II) rats induced acute pancreatitis with L- arginine, group III rats treated with a single dose of vitamin D, and group IV treated with single dose of vitamin D prior to first dose of L- arginine. Serum amylase, lipase and cytokines such as tumour necrosis factor –alpha (TNF-α), interleukin-1 beta (IL1β); in addition, my eloperoxidase (MPO) enzyme activity in the pancreas were measured. In acute pancreatitis group (group II), there was a
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