ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

Proximity Point Properties for Admitting Center Maps

In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples. In particular, we show that if $X$ is a reflexive Banach space with the Opial condition and $T:Crightarrow X$ is a continuous admiting center map, then $T$ has a fixed point in $X.$ Also, we ...

Multiplicative bijective maps on standard operator algebras

multiplicative bijective maps on standard operator algebras

Space-Times Admitting Isolated Horizons

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition – in precise sense – of the Schwarzschild metric with a certain free data set propagating tangentially to the horizon. This proves Ashtekar’s conjecture about the structure of spacetime near the isolated horizon. The same superposition method applied to th...

A Note on Quadratic Maps for Hilbert Space Operators

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...  

Contractive maps in Mustafa-Sims metric spaces

The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space.