scholarly journals alpha-optimal best proximity point result involving proximal contraction mappings in fuzzy metric spaces

2017 ◽  
Vol 10 (1) ◽  
pp. 92-103 ◽  
Author(s):  
Abdul Latif ◽  
Naeem Saleem ◽  
Mujahid Abbas
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Fuzzy Metric Spaces ◽  
Proximal Contraction ◽  
Contraction Mappings ◽  
Fuzzy Metric

scholarly journals Fixed point results for modified various contractions in fuzzy metric spaces via α-admissible

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1869-1881 ◽  
Author(s):  
Supak Phiangsungnoen ◽  
Yeol Cho ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Contraction Mappings ◽  
Fuzzy Metric

In this paper, we prove the existence of a fixed point for some new classes of ?-admissible contraction mappings in fuzzy metric spaces. Our results generalize and extend some well-known results on the topic in the literature. Moreover, we present some examples to illustrate the usability of the obtained results.

scholarly journals On Convergence of Fixed Points in Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Yonghong Shen ◽  
Dong Qiu ◽  
Wei Chen
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Research Direction ◽  
Point Theory ◽  
Fuzzy Metric Spaces ◽  
Contraction Mappings ◽  
Fuzzy Metric

We mainly focus on the convergence of the sequence of fixed points for some different sequences of contraction mappings or fuzzy metrics in fuzzy metric spaces. Our results provide a novel research direction for fixed point theory in fuzzy metric spaces as well as a substantial extension of several important results from classical metric spaces.

scholarly journals Best proximity point results for Suzuki-Edelstein proximal contractions via auxiliary functions

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 435-447 ◽  
Author(s):  
Azhar Hussain ◽  
Muhammad Iqbal ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Ordered Metric Spaces ◽  
Proximal Contraction ◽  
Contraction Mappings ◽  
Partially Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Auxiliary Functions

In this paper we study the notion of modified Suzuki-Edelstein proximal contraction under some auxiliary functions for non-self mappings and obtain best proximity point theorems in the setting of complete metric spaces. As applications, we derive best proximity point and fixed point results for such contraction mappings in partially ordered metric spaces. Some examples are given to show the validity of our results. Our results extend and unify many existing results in the literature.

scholarly journals Best Proximity Point Results inG-Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
N. Hussain ◽  
A. Latif ◽  
P. Salimi
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Best Proximity Point ◽  
Point Theory ◽  
Rich Source ◽  
Point Problem ◽  
Proximal Contraction ◽  
Contraction Mappings

G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings inG-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.

scholarly journals On Convergence of Fixed Points in G-Complete Fuzzy Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Dong Qiu ◽  
Shuai Deng
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Contraction Mappings ◽  
Fuzzy Metric

We provide some results on the convergence of the sequence of fixed points for some different sequences of contraction mappings or fuzzy metrics in G-complete fuzzy metric spaces with the H-typet-norms. We improve the corresponding conclusions in the literature.

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