Oscillation criteria of second order neutral delay dynamic equations with distributed deviating arguments

In this paper we establish some oscillation theorems for second order neutral dynamic equations with distributed deviating arguments. We use the Riccati transformation technique to obtain sufficient conditions for the oscillation of all solutions. Further, some examples are provided to illustrate the results

New approximate fixed point results for rational contraction mappings

In this paper, we investigate approximate fixed point results for ratio[1]nal contraction mappings in a metric space. This manuscript’s inten[1]tion is to demonstrate approximate fixed point results and the diam[1]eter of the approximate fixed point results on metric spaces. Particu[1]larly, we use some rational contraction mappings, which were mainly discussed in Dass and Gupta [1975] and Jaggi [1977]. A few ex[1]amples are included to illustrate our results. Also, we discuss some applications of approximate fixed point results in the field of mathe[1]matics rigorously

Existence Of Best Proximity Points Satisfying Two Constraint Inequalities

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities © 2020. American Institute of Mathematical SciencesWe Would Like To Express Our Gratitude To The Anonymous Referees For Their Helpful Suggestions And Corrections