Study on Fixed Points Common Fixed Points in Different Spaces

Abstract

Banach contraction principle is one of the most important result in fixed point newlinetheory. Due to its simplicity and applicability in various disciplines not only newlinein Mathematics, the result has been generalised in different directions. One newlinesuch generalisation of Banach contraction principle is the replacement of the newlinespace used that is metric space is replaced by some other spaces. In this regard, various generalisations of metric space were established. Mention may newlinebe made are b-metric space (Bakhtin), S-metric space (Sedghi, Shobe and newlineAliouche), Sb-metric space (Souayah and Mlaiki), G-metric space (Mustafa newlineand Sims), Gb-metric space (Aghajani, Abbas and Roshan), A-metric space newline(Abbas, Ali and Suleiman), Ab-metric space (Ughade, Turkoglu, Singh and newlineDaheriya), cone metric (Huang and Zhang), fuzzy metric space (Kramosil newlineand Michaleck), fuzzy cone metric space (Oner, Kandemir and Tanay), Smetric-like space (Mehravaran, Khanehgir and Allahyari) etc newline