in this work‎, ‎we formulate chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. we also discuss the uniqueness of the fixed point. the given result is a generalization of chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

in this work‎, ‎we formulate chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. we also discuss the uniqueness of the fixed point. the given result is a generalization of chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a g...

Let M ,N be two totally real and real analytic submanifolds in Cn . We say that M and N are biholomorphically equivalent if there is a biholomorphic mapping F defined in a neighborhood of M such that F (M ) = N . As a standard fact of complexification, one knows that all totally real and real analytic embeddings of M in C n are biholomorphically equivalent if M is of maximal dimension n . Howev...

Let Ω be an irreducible bounded symmetric domain of rank r in ℂd. $$\mathbb{K}$$ the maximal compact subgroup identity component G biholomorphic automorphism group Ω. The consisting linear transformations acts naturally on any d-tuple T = (T1, …, Td) commuting operators. If orbit this action modulo unitary equivalence is a singleton, then we say that -homogeneous. In paper, obtain model for cer...

expensive to provide these maps  with field measurements  therefore  it is better to use new methods. this study provides a lithological and alteration mapping units with dominant minerals based on hyperspectral images of eo1-hyperion satellite. to do so, two different zones  were  investigated:  the  cuprite-nevada  and  mozahem  volcano  in  iran  which  have suitable conditions for our study...

§1. Global and Local Equivalence Problems There is a classical theorem in complex analysis, called the Riemann mapping theorem, which states that any simply connected domain in C is either holomorphically equivalent to C or to the unit disk. For more general domains in C, He-Schramm showed [HS] that if ∂D has countably many connected components, then D is holomorphically equivalent to a circle ...