RECENT INVESTIGATIONS IN FIXED POINT THEORY

ISBN-13: 9786204204185 / Angielski / Miękka / 148 str.

Jerolina Fernandez; Neeraj Malviya

Opis

The book comprises of eight chapters.Chapter 1 we present conceptual framework which will be needed in the sequel.Chapter 2 we introduce the notion of Nb-cone metric space over Banach algebra and establish some topological properties. We also prove some coupled fixed-point results.Chapter 3 we derive some coupled common fixed point results in Nb-cone metric space over Banach algebra.In Chapter 4, we define the notion of Np-cone metric spaces over Banach algebra as a generalization of N-cone metric spaces over Banach algebra.Chapter 5 deals with introducing the notion of F-cone metric spaces over Banach algebra as a generalization of Nb-cone metric space over Banach algebra and Np-cone metric space over Banach algebra.The purpose of this Chapter 6 is to introduce a new generalization of the b-metric-like spaces called cone b-metric-like space over a Banach algebra.Chapter 7 is devoted to introduce the notion of A-cone metric spaces over Banach algebra as a generalization of A-metric spaces and cone metric spaces over Banach algebra.In chapter 8 we establish a new space called partial cone b-metric space by using both the notions of cone b-metric spaces and partial metric spaces.

O autorze

Fernandez, JerolinaDr. Jerolina Fernandez is an Assistant Professor at The Bhopal School of Social Sciences, Bhopal, M.P., 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 Department of Mathematics, Govt. College Timarni, Harda, India.