**Vol. 7, No. 2, December 2011**

**Contents**

**Title:** **Generalized Intuitionistic Fuzzy Soft Sets and its Applications**

**Authors:** Babitha K V and Sunil Jacob John

**Abstract:** In this paper we define generalized intuitionistic fuzzy soft sets and set theoretical operations with illustrating examples. It also proposes a similarity measure for generalized intuitionistic fuzzy soft set and used it to find out the similarity between synthetic texture and natural texture. A congenial method for solving multi criteria decision making problem in generalized intuitionistic fuzzy soft set frame work is presented.

**PP. **1-14

**Title:** **Products of Menger Probabilistic Normed Spaces**

**Authors:** K.P.R.Sastry, G.A.Naidu, V. Madhavi Latha, S.S.A.Sastri and I. Laxmi Gayatri

**Abstract:** In this paper, we study Menger Probabilistic Normed (PN) spaces in a detailed way; we introduce the notation of a finite product of Menger Probabilistic Normed spaces, show that a finite product of complete Menger probabilistic normed spaces is itself complete and every Cauchy sequence in a Menger probabilistic normed space is norm totally bounded under certain conditions. We also introduce the notion of L-Menger PN spaces and show that in a L-Menger PN space $(X, \tilde{F}, *)$, the distribution map $\tilde{F}$ determines and is determined by a single distribution function on R.

**PP.** 15-23

**Title:** **A Fixed Point Theorem for Six Mappings in Metric Space**

**Authors:** Rajesh Shrivastava, Sarvesh Agrawal, Ramakant Bhardwaj and R.N. Yadava

**Abstract:** In present paper we prove a common fixed point theorem for six mappings using compatibility, weak compatibility and commutativity. Our results improve one of the result of Imdad and Khan [3], fisher [2].

**PP.** 24-37

**Title:** **A Fixed Point Theorem in Cone Metric Spaces under Weak Contractions**

**Authors:** K. P. R. Sastry, Ch. Srinivasa Rao, A. Chandra Sekhar and M. Balaiah

**Abstract:** In this paper, we improve the result of B.S. Choudhury and N. Metiya, Nonlinear Analysis 72 (2010). We remove the restriction of continuity on *φ*. Supporting examples are also provided. Two open problems are given at the end.

**PP.** 38-44

**Authors:** Vakeel A. Khan and Sabiha Tabassum

**Abstract:** The main aim of this paper is to introduce a new class of sequence spaces namely $_{2}V^{\bar{\lambda}}[A,\Delta_{(mv)}^n, M, p, \|.,.\|]_\sigma$ where σ = 0, 1, ∞ using the concept of 2-norm and the notion of de la Valee-Pousin means when $A = (a_{m,n,j,k)}$, *j*, *k* = 0,1,... is a doubly infinite matrix of real numbers for all *m*, *n* = 0,1,.... To construct these spaces we use an Orlicz function, a bounded sequence of positive real numbers and a generalized difference operator which was introduced by Dutta[2] . We obtain various inclusion relations involving these sequence spaces.

**PP.** 45-58

**Title:** **m-Systems and n-Systems in Ordered Ternary Semigroups**

**Author:** Thawhat Changphas

**Abstract:** In this note, the concepts of m-systems and n-systems in ordered ternary semigroups will be introduced and studied.

**PP.** 59-62

Copyright 2010-2016 GENERAL MATHEMATICS NOTES. All rights reserved.