In this paper, we provide a generalization of rectangular b-metric space by relaxing the inequality to include unequal weights. We examples and restrictions for Lipschitz constant enabling convergence some sequences in proof fixed point theorems.

The articles [6], [1], [4], [5], [2], and [3] provide the notation and terminology for this paper. Let O1 be an ordered affine space. Then Λ(O1) is an affine space. Let O1 be an ordered affine plane. Then Λ(O1) is an affine plane. We now state several propositions: (1) There exists a real linear space V and there exist vectors u, v of V such that for all real numbers a, b such that a · u + b · ...

Partially ordered sets and metric spaces are used in studying semantics in Computer Science. Sets with both these structures are hence of particular interest. The partial metric spaces introduced by Matthews are an attempt to bring these ideas together in a single axiomatic framework. We consider an appropriate context in which to consider these spaces is as a bitopo-logical space, i.e. a space...

The aim of this paper to obtain completeness and uniqueness of fixed point theorem on b-metric space. In this paper we show that different contractive type mapping exist in b-metric space.