COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN DISLOCATED METRIC SPACE
Journal Title: Journal of Ramanujan Society of Mathematics and Mathematical Sciences - Year 2017, Vol 6, Issue 1
Abstract
In this paper, we discuss the existence and uniqueness of common fixed point and some new common fixed point theorems for two pairs of weakly compatible mappings in a dislocated metric space, our results generalizes and improves many fixed point results in the present literature of fixed point theory in dislocated metric spaces.
Authors and Affiliations
Vishnu Bairagi, V. H. Badshah, Aklesh Pariya
A VARIANT OF THE TYPE-1 BETA AND DIRICHLET INTEGRALS
A double integral, which can be taken as an extension of a type-1 beta integral, is introduced and its properties are studied. Than a $k$-variate multiple integral on a unit cube in Euclidean $k$-space is introduced, whi...
ON CERTAIN TRANSFORMATIONS OF BASIC HYPERGEOMETRIC FUNCTIONS USING BAILEY'S TRANSFORM
In this paper, making use of Bailey transform and certain known sum- mation formulas, we have established certain interesting transformation formulas of basic hypergeometric series.
COMPUTABLE REPRESENTATION OF ULTRA GAMMA INTEGRAL
A certain integral is there in the literature which some authors call ultra gamma function, some others call it generalized gamma, some others call it Kratzel integral, some others call it inverse Gaussian integral, some...
CERTAIN NEW MODULAR EQUATIONS OF MIXED DEGREE IN THE THEORY OF SIGNATURE 3
In this paper, we establish certain new modular equations of mixed degree in the theory of signature 3, which are analogous to the Ramanujan-Russell type modular equation and the Ramanujan-Schlafli type mixed modular equ...
TRANSFER MATRIX METHOD FOR ONE-DIMENSIONAL PHOTONIC CRYSTALS
Theory of photonic crystals includes an extensive study of electromagnetism and optics in conjunction with solid state physics. Many things have been known for over a century and I want to explore how the calculation on...