GENERAL MATHEMATICS NOTES

Vol. 8, No. 1, January 2012

Contents

Title: Caristi-Type Fixed Point Theorems in a 2-Banach Space

Authors: Mukti Gangopadhyay, Mantu Saha and A. P. Baisnab

Abstract: This paper deals with some fixed point Theorems in 2-Banach spaces where mappings involved are of Caristi-type and results arrived at take care of those so far known.

PP. 1-5 

Title: Rotation Effect on MHD flow past an Impulsively Started Vertical plate with Variable Mass Diffusion

Authors: U.S. Rajput and Surendra Kumar

Abstract: Rotation effects on MHD flow past an impulsively started vertical plate with variable mass diffusion is studied here. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The velocity, concentration and skin friction are studied for different parameters like mass Grash of number, Schmidt number, magnetic field parameter, rotation parameter and time.

PP. 6-14

Title: A Solution of Generalized Fractional Volterra Type Integral Equation Involving K₄–Function

Authors: Kishan Sharma, Renu Jain and V.S. Dhakar

Abstract: The main objective of this paper is to derive a solution of a generalized fractional Volterra integral equation involving K₄ -function with the help of the Sumudu transform. Several special cases are also mentioned.

PP. 15-22

Title: Method of Successive Approximations for Solving the Multi-Pantograph Delay Equations

Authors: M.A. Jafari and A. Aminataei

Abstract: In this paper, the successive approximations method is applied to solve multi-pantograph equations. The multi-pantograph equation is a kind of delay differential equations (DDEs). By this method, good approximate solutions can be obtained with only a few iterations. In addition, this method can be applied easily to solve neutral functional-differential equation with proportional delays. In this sense, to illustrate the method, some examples are provided. The results show that the method is very effective.

PP. 23-28

Title: Construction of a New Airport in a Developing Country, using Entropy Optimization Method to the Model

Authors: Kakali Karmakar (Sur) and Sanat Kumar Majumder

Abstract: In recent years owing to the unpredictable growth in air travel, considerable attention has been developed to the planning and construction of airports. In this paper firstly we discuss about mathematical programming models regarding airport construction, and then optimize parameters using entropy optimization method.

PP. 29-34