Fixed point theorems acting on 2-metric space: A brief study: Some basic results to advanced

by Debashis Dey

Researchers have the natural tendency to take taste of basic results under generalized setting. Fixed point theory in functional analysis has a vast literature and has many applications in solving linear algebraic equation, differential equation, integral equation, implicit function theorem and optimization theory, etc. But this beautiful theory took a turn with the emergence of 2-metric space by a German mathematician S. Gahler. Researchers have been interested to test the existence of fixed points under some assumption in this new setting. This monograph presents the reader a brief account of this evolution in this area. Some fundamental results have been stated without proof and some new knowledge has been added with proper reasoning and proof. More or less, this monograph is an outgrowth of research on the subject during the past few decades and a great deal of the material presented here has been obtained only in recent years.

108 pages, Paperback

Published June 23, 2013

About the author

Debashis have been writing poetry and short stories since his college days and also contribute to The American Chronicle. His first novel, Murmur of the Lonely Brook, reflects his immersion in an ancient culture that continues to follow age-old rituals, customs, and traditions.

Debashis finds beauty in stillness, solitude, and the quiet rhythms of nature. Deeply attuned to the silences of the universe, he writes from a place where words arrive gently—like leaves carried on the wind, like memory rising through mist.

He lives in Kolkata now, and loves painting with ink and coffee—and sometimes, with words.
The Edge of Listening is his first poetry collection.