Existence Results for Integral Equations via Fixed Point Theorems in b-Metric Spaces | Chapter 3 | Research Updates in Mathematics and Computer Science Vol. 8

 

In this chapter, we have used the concept of b-metric space. This paper aims to obtain the common fixed point theorems for a mapping satisfying generalized contractive conditions utilizing the class of functions F in b-metric space. Moreover, applications of the obtained results are discussed and studied by using an example.

 

 

Author(s) Details

Varsha D. Borgaonkar

P.G. Department of Mathematics, N.E.S. Science College, Nanded, Maharashtra, India.

K. L. Bondar

P.G. Department of Mathematics, Govt. Vidarbh Institute of Science and Humanities, Amravati, Maharashtra, India.

S. M. Jogdand

Department of Mathematics, Shri. Shivaji College of Arts, Commerce and Science, Kandhar, Nanded, Maharashtra, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/rumcs/v8/457

Study on Fixed Point Theorems of Weakly Compatible Mappings in b2-Metric Space Satisfying Contractive Conditions | Chapter 7 | Current Topics on Mathematics and Computer Science Vol. 7

The terms 2-metric space and b-metric space are used interchangeably. The b2 -metric space introduced by Mustafa et al. (Z. Mustafa, V. Paraneh, J. Razaei, and Z. Kadulberg: b2 -metric spaces and some fixed point theorems, Fixed Point Theory and Applications 2014, 2014:144) is generalised. In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings in b2 metric space that satisfy the contractive condition (φ,ψ).

Author (S) Details

Thokchom Chhatrajit Singh
Department of Mathematics, Manipur Technical University, Imphal, Manipur -795004, India.

Yumnam Rohen Singh
Department of Mathematics, National Institute of Technology Manipur, Langol, India.

K. Anthony Singh
Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal, India.

View Book :- https://stm.bookpi.org/CTMCS-V7/article/view/2936