No abstract

The current analysis concentrated on the consequence of Casson dissipative fluid and spanwise consinusoidally fluctuation temperature on unsteady magnetohydrodynamics free convective flow past a moving hot vertical permeable plate with heat generation, radiation absorption, and chemical reaction. It has imperative practical applications in plentiful fields like physiological processes, biomedical science, food processing, pharmaceutical, chemical material processing engineering, manufacturing systems, and so on. The governing partial differential equations are evaluated analytically by employing a multiple regular perturbation method. The influence of assortment physical estimators on fluid velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number was illustrated quantitatively through graphs. Eventually, it was revealed that velocity, concentration, and Sherwood number declined with the progressive values of the chemical reaction parameter. Velocity and temperature were enhanced with incremental values of Prandtl number, while the contradictory impact occurred in Nusselt number and skin friction. Meanwhile, velocity and skin friction lessened with the incremental values of the magnetic parameter and Casson fluid parameter.

generalized (e, 6) {S, T}-contractions, and {S, T}-iterations.

The intent of this manuscript is to establish some common fixed point theorems in a complete metric space under weak contraction condition for two pairs of discontinuous weak compatible maps. The results proved herein are the generalization of some recent results in literature. We give an example to support our results. MSC: 47H10; 54H25

In this paper, we shall prove some periodic point theorems of rational inequality in complex valued metric spaces. The first result of this type was due to Sehgal[14] and his result was generalized by Guseman[5], Khanzanchi[6], Rhoades and Ray[2] and Murthy and Pathak[10].