Several interesting numbers such as the homotopy invariant Lefschets number L(f), Nielsen N(f), fixed point index i(X, f,U) and Reidemeister R(f) play important roles in study of theorems. The gives more geometric information about points than other numbers. However is hard to compute general. To number, Jiang related it R(f ) induced homomorphism f : 1(X) when X a lens space or an H-space (Jia...

In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established.

In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).

The purpose of this paper is to obtain the common fixed point results for two pair of weakly compatible mapping by using common (CLR) property in partial metric space. Also we extend the very recent results which are presented in [17,  Muhammad Sarwar, Mian Bahadur Zada and Inci M. Erhan, Common Fixed Point Theorems of Integral type on Metric Spaces and application to system of functional equat...