generalized weak contraction
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2021 ◽  
Vol 14 (1) ◽  
Author(s):  
N. Seshagiri Rao ◽  
K. Kalyani ◽  
K. Prasad

Abstract Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. Result In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.


2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Maryam Iqbal ◽  
Afshan Batool ◽  
Ozgur Ege ◽  
Manuel de la Sen

In this manuscript, a class of generalized ψ , α , β -weak contraction is introduced and some fixed point theorems in the framework of b -metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.


Author(s):  
Reena Jain

In this paper, the concept of generalized weak contraction mapping in the setting of generating space of [Formula: see text]-dislocated metric space endowed with partial order is introduced and some fixed-point theorems for the mappings in space satisfying the generalized weak contraction are proved. Example is also given in order to justify our main result.


Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6185-6203 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam

The purpose of this article is to prove some coincidence point and approximate solution method for generalized weak contraction mapping in b??metric spaces by using the concept of b-generalized pseudodistance. Also, we give some examples to illustrate our main results.


Author(s):  
M. Eshaghi Gordji ◽  
S. Mohseni Kolagar ◽  
Y.J. Cho ◽  
H. Baghani

Abstract In this paper, we introduce the concept of a generalized weak contraction for set-valued mappings defined on quasi-metric spaces. We show the existence of fixed points for generalized weakly contractive set-valued mappings. Indeed, we have a generalization of Nadler’s fixed point theorem and Banach’s fixed point theorem in quasi-metric spaces and, further, investigate the convergence of iterate scheme of the form xn+1 ∈ Fxn with error estimates.


2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Savita Rathee ◽  
Anil Kumar ◽  
Kenan Tas

A common fixed point theorem for generalizedφ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.


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