scholarly journals Some Integral Type Fixed Point Theorems in Dislocated Metric Space

2016 ◽  
Vol 06 (02) ◽  
pp. 88-97 ◽  
Author(s):  
Dinesh Panthi ◽  
Panda Sumati Kumari
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Dislocated Metric Space ◽  
Dislocated Metric

scholarly journals Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yijie Ren ◽  
Junlei Li ◽  
Yanrong Yu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mapping Theorem ◽  
Contractive Mappings ◽  
Dislocated Metric Space ◽  
Common Fixed Point Theorems ◽  
Dislocated Metric

In 1986, Matthews generalized Banach contraction mapping theorem in dislocated metric space that is a wider space than metric space. In this paper, we established common fixed point theorems for a class of contractive mappings. Our results extend the corresponding ones of other authors in dislocated metric spaces.

scholarly journals Some Fixed-Point Theorems in b-Dislocated Metric Space and Applications

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 691 ◽  
Author(s):  
Panda Sumati Kumari ◽  
Obaid Alqahtani ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Linear Integral Equation ◽  
Dislocated Metric Space ◽  
Non Linear ◽  
Fractional Differential ◽  
Linear Integral ◽  
Dislocated Metric ◽  
Linear Fractional Differential Equations

In this article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.

scholarly journals Common Fixed Point Theorems for Mappings of Compatible Type(A) in Dislocated Metric Space

2016 ◽  
Vol 16 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Dinesh Panthi ◽  
P. Sumati Kumari
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Science And Technology ◽  
Type A ◽  
Fixed Point Result ◽  
Dislocated Metric Space ◽  
Common Fixed Point Theorems ◽  
Dislocated Metric

In this article we establish a common fixed point result for two pairs of mappings of compatible type(A) in dislocated metric space which generalizes and extends the similar results in the literature.Nepal Journal of Science and Technology Vol. 16, No.1 (2015) pp. 79-86

Fixed point theorems for generalized weak contraction mapping in generating space of b-dislocated metric spaces

2020 ◽  
pp. 2150120
Author(s):  
Reena Jain
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Dislocated Metric Space ◽  
Generalized Weak Contraction ◽  
Dislocated Metric

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.

scholarly journals A Fixed Point Theorem for Three Pairs of Mappings Satisfying Contractive Condition of Integral Type in Dislocated Metric Space

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Mujeeb Ur Rahman ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Dislocated Metric Space ◽  
Dislocated Metric ◽  
Common Fixed Point Theorem

The aim of this paper is to study a common fixed point theorem for three pairs of self-mappings satisfying a contractive condition of integral type in the setting of dislocated metric space. We notice that our established theorem generalizes the main result of Branciari (2002) in the context of dislocated metric space.

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