Fixed point theorems for generalized weakly contractive mappings
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as a proper subset. Fixed point theorems for single and multi-valued mappings, approximating scheme for common fixed point for some mappings, and fixed point theorems for fuzzy mappings are presented. It extends the work of several authors including Bose and Roychowdhury.
Authors and Affiliations
Ramendra Krishna Bose, Mrinal Kanti Roychowdhury
Keywords
Related Articles
- EP ID EP118876
- DOI -
- Views 101
- Downloads 0
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations
In this paper an efficient modification of Adomian decomposition method is introduced for solving singular initial value problem in the second-order ordinary differential equations. The scheme is tested for some examples...
Full averaging of fuzzy impulsive differential inclusions
In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skrip...
On a recurrence relation of generalized Mittag-Leffler function
The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function E<SUB>α ,β </SUB><SUP>γ ,q</SUP> (z). In the end sever...
pplications of generalized Ruscheweyh derivative to univalent functions with finitely many coefficients
By making use of the generalized Ruscheweyh derivative, the authors investigate several interesting properties of certain subclasses of univalent functions having the form<center> f(z) = z - Σ<SUB>n=2..m</...
On a certain subclass of meromorphic univalent functions with fixed second positive coefficients
In the present paper, we consider the subclass of meromorphic univalent functions S<SUB>p</SUB><SUP>*</SUP>[k,α,β,c] with fixed second positive coefficient. The object of the present paper is to s...