A satisfying result

Fixed Point and Homotopy Result for Mappings Satisfying an Implicit Relation

In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.

A SHORT PROOF OF A RESULT OF NAGEL

Let $(R,fm)$ be a Gorenstein local ring and$M,N$ be two finitely generated modules over $R$. Nagel proved that if $M$ and $N$ are inthe same even liaison class, thenone has $H^i_{fm}(M)cong H^i_{fm}(N)$ for all $iIn this paper, we provide a short proof to this result.

A short remark on the result of Jozsef Sandor

It is pointed out that, one of the results in the recently published article, ’On the Iyengar-Madhava Rao-Nanjundiah inequality and it’s hyperbolic version’ [3] by J´ozsef S´andor is logically incorrect and new corrected result with it’s proof is presented.

Living a happy, healthy and satisfying life

Institutional Repository Satisfying a need for sleep

Recent studies have suggested that the average individual has a sleep requirement in excess of 8h sleep each night. These concerns stem from reports of relatively increased propensity for sleep throughout the day for otherwise apparently healthy, young adults. It has been claimed that a substantial proportion of these individuals are suffering from a chronic loss of sleep. The work presented in...