A Review of Fixed Point Theorems with definition and proof

Vol-3 | Issue-11 | November 2018 | Published Online: 10 November 2018    PDF ( 285 KB )
Author(s)
Happy Hooda 1; Renu Chugh 2

1Research Scholar, Dept. of Mathematics, MDU Rohtak (India)

2Professor, Dept. of Mathematics, MDU Rohtak (India)

Abstract

This paper gives the fundamental suppositions which are utilized in the verifications of such theorems when they are worried about capacities that are contractive somehow or another. We present a general settled point theorem which can be viewed as the fundamental standard of evidence for settled point theorems. Additionally we contemplate two sorts of general coincidence guide theorems and their applications toward metric spaces and ultrametric spaces. Further, we locate an elective way to deal with coincidence point theorems. At last, we have contemplated the settled point theorems with definition and confirmation with the legitimate connection between these theorems.

Keywords
Fixed Point Theorems, ultrametric spaces, coincidence point theorems
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