In this paper, we prove a contractive type condition with rational expression and generalize common fixed point theorems for Expansive Type Mapping in Dislocated metric space. Our results extends and generalizes many well known results.

This refers to the paper entitled "Retrograde motion as described in Brahmatulyaudāharaṇam of Viśvanātha" BS Subha and BS Shylaja published in IJHS 55.1 (2020): 40-48. The explanation for retrograde motion of a planet is based on the concept that the planet appears stationary as seen from the earth owing to the relative motion. The standard formula used for the derivation of stationary points in the orbit of a planet involves the condition that the sum of velocities be zero. Here we provide the standard derivation from textbooks and an alternative method of arriving at the same result. Further we compare it with the method provided in Karaṇakutūhala of Bhāskarācārya and show that the same result has been arrived at by Bhāskarācārya as cited in the paper on the examples from Brahmatulyaudāharaṇam.

Due to bandwidth and time limits, delivering high-quality video streaming facility offers real-time wireless networks, but assuring quality of experience (QoE) is rather difficult. A network host can deliver its data stream via numerous different network pathways. At the same time, using multipath data transmission, where video streaming may be supplied through Internet protocols (IPs) as well as broadband with bidirectional communication between video sources and consumers, is one way to address this difficult problem. In this work, a novel framework is developed for wireless heterogeneous networks for video streaming applications using concurrent multipath transfer (CMT). The performance of frame-level delay can be enhanced for better video quality using this proposed method. The network congestion on end-to-end path utilised in CMT is not dependent of one another, and we operate under prior assumption that receiver’s announced window does not limit the sender. The analytical results show that the proposed framework outperforms existing methods in terms of performance with minimum retransmission delay.

In this paper, we study some coupled fixed point theorems in a dislocated quasi-metric space which improve and extend some existing results.