In this paper, we dene the notion of a coupled coincidence fixed point and prove a coupled coincidence fixedpoint theorem in dislocated quasi b-metric space. In order to validate our main result and its corollaries anexample is given

In this paper, we dene the notion of a coupled coincidence fixed point and prove a coupled coincidence fixedpoint theorem in dislocated quasi b-metric space. In order to validate our main result and its corollaries anexample is given

The present paper proposes a new monotone iteration principle for the existence as well as approximationsof the tripled solutions for a tripled periodic boundary value problem of second order ordinary nonlineardifferential equations. An algorithm for the tripled solutions is developed and it is shown that the sequencesof successive approximations defined in a certain way converge monotonically to the tripled solutions of therelated differential equations under some suitable hybrid conditions. A numerical example is also indicatedto illustrate the abstract theory developed in the paper.

In this paper a nonlinear inverse heat conduction problem in one dimensional space is considered. Thisinverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the maincharacteristics of the inverse problems. So, a numerical algorithm based on the combination of discretemollification and space marching method is applied to conquer ill-posedness of the auxiliary inverse problem.Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Eventually, theefficiency of this method is illustrated by a numerical example.

The aim of this paper is to introduce a new type of contraction called Θ-G-contraction on a metricspace endowed with a graph and establish some new fixed point theorems. Some examples are presentedto support the results proved herein. Our results unify, generalize and extend various results related withG-contraction for a directed graph G