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

Some Contractive Type Mappings in b-metric Space | Chapter 1 | Research Updates in Mathematics and Computer Science Vol. 1

 In this paper we prove that, the unique fixed point exists for a mapping satisfying the generalized contractive type conditions in b-metric space. Here the b-metric under consideration need not be continuous function whereas the metric is a continuous function. An example is also given for the verification of the result.

Author(s) Details:

Varsha D. Borgaonkar,
P. G Department of Mathematics, N. E. S. Science College, Nanded 431602 (M.S.), India.

K. L. Bondar,
P. G Department of Mathematics, Govt. Vidarbh Institute of Science and Humanities, Amravati, India.

S. M. Jogdand,
Department of Mathematics, Shri Shivaji College of Arts, Commerce and Science, Kandhar, Nanded, India.

Please see the link here: https://stm.bookpi.org/RUMCS-V1/article/view/13668

Solution of Fractional Differential Equation of Variable Order via S-Iteration | Chapter 6 | Research and Applications Towards Mathematics and Computer Science Vol. 3

 The present phase studies the solvability of the initial profit problem for the variable-order partial differential equating (FDE) involving the Caputo fractional derivative in Banach room. The existence and differentness of the solution of FDE is intentional using the application of the S-redundancy method. Since the study of concerning qualities not quantities properties usually demands the use of differential and basic inequalities, the S-redundancy method contributes evenly to the study of various possessions such as reliance on initial data, the nearness of solutions, and reliance on parameters and functions involved in the kindliness the FDE. Finally, we illustrate our main result through an model.

Author(s) Details:

Haribhau L. Tidke,
Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India.

Gajanan S. Patil,
Department of Mathematics, PSGVPM's ASC College, Shahada, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V3/article/view/11567

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 and Its Some Real-Life Applications| Chapter 8 | Research Highlights in Mathematics and Computer Science Vol. 1

 In this paper, fixed-point hypothesis is the delightful combination of examination, geography and math. In some true issues fixed-point hypothesis is the essential numerical apparatus used to lay out the presence of arrangements in game hypothesis and numerical financial matters which emerge normally in applications. Thus, fixed-point hypothesis is a significant area of concentrate in unadulterated and applied science and it is a thriving area of exploration.

Author(s) Details:

Sarla Chouhan,
Department of Applied Mathematics, Shri Govindram Seksaria Institute of Technology and Science, Indore, Madhya Pradesh, India.

Bhumi Desai,
SGSITS, Indore, India.

Please see the link here: https://stm.bookpi.org/RHMCS-V1/article/view/8247

Studies on Fixed Point Theorems for the Families of Selfmaps on Rings | Chapter 7 | Novel Research Aspects in Mathematical and Computer Science Vol. 5

For each x in R, the families of self-maps {fi : R → R : i Є N}  on a Ring (R, + ,. ) are being taken into account. In this paper, we show fixed point theorems for various mappings. We'll demonstrate how the set of fixed points for these mappings may be organised into rings, ideals, and various algebraic structures.

Author (s) Details:

D. Borgaonkar Varsha,
P. G. Department of Mathematics, N. E. S. Science College, Nanded – 431602, (M.S.), India.

Please see the link here: https://stm.bookpi.org/NRAMCS-V5/article/view/7484

Expanding Mappings in Complete Cone Metric Spaces | Chapter 02 | Novel Research Aspects in Mathematical and Computer Science Vol. 2

 This paper proves the fixed point theorem for extending onto self-mappings in complete cone metric spaces. Our findings improve and expand several similar results in the literature.

Author(S) Details

K. Prudhvi
Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India.


View Book:- https://stm.bookpi.org/NRAMCS-V2/article/view/6788

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

Fixed Points Theorem of a Countable Family of I-Nonexpansive Multivalued Mappings of Modified Iteration in Banach Spaces | Chapter 2 | Current Topics on Mathematics and Computer Science Vol. 11

In this chapter, I provide a modified Ishikawa iteration for a countable family of multi-valued Mappings under the SC- and Condition constraints (A). The optimum approximation operator for the modified Ishikawa iteration in Banach spaces to attain weak and strong convergence. The challenge of identifying a common fixed point for a countable family of I-Nonexpansive multi-valued mappings yielded the following main results.

Author (S) Details

Poonam Lata Prabhakar

Samrat Ashok Technological Institute, Vidisha, India.

View Book :- stm.bookpi.org/CTMCS-V11/article/view/3976

Application of a Fixed Point of Derivative Function | Chapter 2 | Current Topics on Mathematics and Computer Science Vol. 3

 Brouwer's fixed point theorem in R says that any continuous function f: [0,1][0,1] has a fixed point. It is possible to see the nature of its functions, the function's domain, or a support function. Even though the derivative function on [0,1] into itself is not always continuous, we prove in this article that it has a fixed point.

Author (S) Details

Mohamad Muslikh
Department of Mathematics, University Brawijaya, Malang 65143, Indonesia.

Adem Kilicman
Department of Mathematics, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.

View Book :- https://stm.bookpi.org/CTMCS-V3/article/view/2042