Tripled fixed Point Theorem for Mapping in Partially Ordered S-Metric Spaces

Abstract

Functional analysis is considered as one of the most significant branches of Mathematics. Development of modern physics and functional analysis go simultaneously. The laws of both quantum field theory and mechanics are closely connected to the structure of functional analysis. It can be said at the same time that there observed some significant impact and connection between such physics theoretical frameworks and the authenticating embodimentof problems and the methodology to find solutions to these problems related to functional analysis. The fixed point theory has been emerged from this branch which focuses on the different utilizing points. It performs a very important part in a number of disciplines like economics, differential equations, functional analysis, artificial intelligence, optimal control, logic programming and topology. Ran and Reurings have considered,“the fixed point theorem for mapping the contraction type mappings in partially ordered metric spaces”. The new concept of triplefixed- point was induced for mapping by Borcut and Berinde very recently. It attained some unique and significant theorems mappings in partially ordered metric spaces. The researcher is making an attempt through currentresearch workto signify “A tripled fixed point theorem for mapping in partially ordered S-metric space”.