Fixed points of α – ψ multivalued contractive mappings in cone metric spaces

Abstract

Some results on fixed points of α − ψ multivalued mappings of different contractive nature over a cone metric space with a normal constant equal to 1 have been established.

Common fixed point theorems for generalized contractive mappings in an $F$cone metric space over a Banach algebra

“…With this concept he had been succeeded to define Cauchy sequences and con-vergence of sequences in it. Subsequently many researchers (See [2], [19], [5], [8], [9], [17]) had proved fixed point theorems in such spaces. As we go through in a survey of literatures, we note that many authors had pointed out that fixed point theorems so far obtained in a cone metric space have no importance as such, because the results directly follows from the usual metric spaces where the real valued metric function is defined by some equivalent functions (See [3], [17]).…”