Cocoa in Ecuador is one of the main crops economic importance, mainly for small and medium farmers on coast. Sexual self-compatibility most important criteria selection clonal plants from members hybrid progeny. Trees with higher levels are those that tend to produce earlier compared self-compatible ones. The study consisted selecting 333 trees a group 71 progenies, based such as productivity h...

In this paper, first we prove a common fixed point theorem for a pair of weakly compatible self maps in complex valued metric space for rational inequality. Secondly, we prove common fixed point theorems for weakly compatible mappings along with (CLRg) and E.A. properties.

We show that a locally finite variety which omits abelian types is self–rectangulating if and only if it has a compatible semilattice term operation. Such varieties must have type–set {5 }. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the ...

We show that a locally finite variety which omits abelian types is self–rectangulating if and only if it has a compatible semilattice term operation. Such varieties must have type–set {5 }. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the ...

The aim of this paper is to prove a common fixed point theorem for two pairs of self mappings in a cone metric space without assuming the normality of cone. Here we consider one pair of compatible mappings of type (R) and another pair of weakly compatible. Our results extend and modify the result of [11] and generalise many other results in the literature. −−−−−−−−−−−−−−−−−−−−−−−−−−−−