In this article, we prove some existence and uniqueness results on coincidence points for g-increasing mappings satisfying generalized ϕ-contractivity conditions in ordered metric spaces. As an application of one of our newly proved results, we indicate the formulation of a coupled coincidence theorem. Our results generalize, extend, modify, improve, sharpen, enrich, and complement several well-known results of the existing literature. Also, we point out that a recent coincidence point result proved in

Abstract. The idea of difference sequences was introduced by H. Kizmaz [1], In this paper we define some difference sequence spaces by Orlicz Function and establish some inclusion relations.

In this paper, we first introduce the class of partial symmetric spaces and then prove some fixed point theorems in such spaces. We use one of the our main results to examine the existence and uniqueness of a solution for a system of Fredholm integral equations. Furthermore, we introduce an analogue of the Hausdorff metric in the context of partial symmetric spaces and utilize the same to prove an analogue of the Nadler contraction principle in such spaces. Our results extend and improve many results in the existing literature. We also give some examples exhibiting the utility of our newly established results.

In this paper, we introduce the notions of (F,ϕ,α-ψ)-contractions and (F,ϕ,α-ψ)-weak contractions in metric spaces and utilize the same to prove some existence and uniqueness ϕ-fixed point results. Some illustrative examples are given to demonstrate the usefulness and effectiveness of our results. As applications, we deduce some fixed point theorems in partial metric spaces besides proving an existence result on the solution of nonlinear differential equations. Our results extend, generalize and improve some relevant results of the existing literature.

The Government of Pakistan prepared the second Perspective Plan in 1987- 88 for the next ftfteen years to set the long-term social and economic policy framework. The Plan identifted that the long-term objectives could only be achieved if the education, skills, nutrition and health of the people were improved. These objectives have recently been operationalised in the donor supported Social Action Programme (SAP). However, there is general recognition of the resource constraint within which these objectives are to be achieved, especially given the low priority that has been attached traditionally to allocations to the social sectors. Therefore, the p{ogramme envisages the expansion of primary infrastructure through an accelerated school construction programme using cost -effective approaches to delivery including need-based criteria for school location and changes in the pattern of allocation of funds among sector inputs.