Coupled Fixed Point - Applications in Partially Ordered Fuzzy Metric Spaces | Chapter 2 | Research and Applications Towards Mathematics and Computer Science Vol. 2

 In the paper we establish a coupled established point result in incompletely ordered fuzzy rhythmical spaces by utilizing the control function. We acquire our results for Had zic type t-norm. Fuzzy set belief is one of uncertainty approaches and topological constructions are basic tools to build mathematical models compatible accompanying many real existence situation. We also base two lemmas and deduce a corollary. By an use of the fixed point axiom in fuzzy metric scopes, a corresponding result is obtained in rhythmical spaces. Our work offers some existing results [1, 2, 3].

Author(s) Details:

B. S. Choudhury,
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.

P. Das,
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.

P. Bhattacharyya,
Department of Humanities and Basic Science, Fr. C. Rodrigues Institute of Technology, Vashi, Navi Mumbai - 400703, Maharastra, India.

P. Saha,
Department of Mathematics, Indian Institute of Engineering Sciences and Technology, Shibpur, Howrah - 711103, West Bengal, India.

P. Lata,
Department of Mathematics, Pratap University, Sunderpura, Jaipur, Rajasthan, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V2/article/view/11105

Fixed Point Theory for Self and Ciric Type Weak Quasi Contraction Mappings in Different Metric Spaces | Chapter 8 | Research Highlights in Mathematics and Computer Science Vol. 6

 The purpose concerning this communication is to explain some new unique established point theorems in metric and menger scopes under self and Ciric type -weak quasi shortening mappings. Some important results and drawings to highlight the realized betterings are also supplied.

Author(s) Details:

Rohit Kumar Verma,
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.

Please see the link here: https://stm.bookpi.org/RHMCS-V6/article/view/9802

Fixed Point Theory for Self and Ciric Type Weak Quasi Contraction Mappings in Different Metric Spaces | Chapter 9 | Research Highlights in Mathematics and Computer Science Vol. 6

 The purpose concerning this communication is to confirm some new unique established point theorems in metric and menger rooms under self and Ciric type -weak quasi shortening mappings. Some important results and drawings to highlight the realized betterings are also supplied.

Author(s) Details:

Rohit Kumar Verma,
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.

Please see the link here: https://stm.bookpi.org/RHMCS-V6/article/view/9802

Study on New Fixed Point Theorems for Modified Generalized Rational α-ψ- Geraghty Contraction Type Maps | Chapter 4 | Recent Advances in Mathematical Research and Computer Science Vol. 10

We begin by introducing modified generalised rational —Geraghty contraction type maps in the framework of metric space and developing some fixed point theorems for such maps in this chapter. This new contraction map was inspired by the several Geraghty contraction type maps that have been introduced by many authors over the years. We also present examples to demonstrate the validity of our findings.

Author(s) Details:

K. Anthony Singh,
Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal-795001, India.

Please see the link here: https://stm.bookpi.org/RAMRCS-V10/article/view/6272