THE INVESTIGATION OF SOME NEW METRIC SPACES

ISBN-13: 9786202924290 / Angielski / Miękka / 124 str.

Jerolina Fernandez; Neeraj Malviya

Opis

The book consists of 9 chapters.Chapter 1 The first chapter presents some preliminaries and historical notes on metric spaces.Chapter 2 We study asymptotically regular maps and sequences in partial cone metric spaces and derive some fixed point results.Chapter 3 We aim to deal with expansive maps in Partial cone metric spaces and prove some results.In Chapter 4 we discuss the notion of the N-cone metric spaces, define asymptotically regular maps and prove some fixed point theorems.In Chapter 5 we define topology and prove unique fixed point theorems for contractive maps in N-cone metric spaces.Chapter 6 is devoted to introducing the notion of N-fuzzy metric spaces, described some properties and also proved some fixed point theorems.In Chapter 7 we introduce a new space called Nb-cone metric space. We define expansive mapping for the new setting and prove some fixed point theorems.In Chapter 8 we introduce pseudo-G-metric spaces and pseudo-G-metric product spaces.Chapter 9 is devoted to another new space named Cone metric-like space over Banach algebra. We define Generalized Lipschitz map and proved some fixed point results.

O autorze

Fernandez, Jerolina Dr. Jerolina Fernandez is an Assistant Professor at the Bhopal School of Social Sciences, Bhopal, Madhya Pradesh, India. She has obtained her Ph.D. from Barkatullah University, India. Dr. Neeraj Malviya obtained his Ph.D. from Barkatullah University, Bhopal and is an Assistant Professor in Dept of Mathematics at Govt. College Timarni, Harda, India.