scholarly journals Revisiting the Meir-Keeler contraction via simulation function

Filomat ◽  
2020 ◽  
Vol 34 (5) ◽  
pp. 1645-1657
Author(s):  
Erdal Karapınar ◽  
Andreea Fulga ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Simulation Function ◽  
Discontinuous Mappings

In this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.

scholarly journals On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

2021 ◽  
Vol 22 (2) ◽  
pp. 435
Author(s):  
Ravindra K. Bisht ◽  
Vladimir Rakocević
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Point Property ◽  
Probabilistic Metric Space ◽  
Discontinuous Mappings ◽  
Probabilistic Metric ◽  
Menger Probabilistic Metric Space ◽  
Probabilistic Version

<p>A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (ϵ - δ) type non-expansive mappings is established.</p>

scholarly journals Common fixed point theorem on Proinov type mappings via simulation function

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Badr Alqahtani ◽  
Sara Salem Alzaid ◽  
Andreea Fulga ◽  
Seher Sultan Yeşilkaya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Simulation Function ◽  
Type Mapping ◽  
The Common ◽  
Common Fixed Point Theorem

AbstractIn this paper, we aim to discuss the common fixed point of Proinov type mapping via simulation function. The presented results not only generalize, but also unify the corresponding results in this direction. We also consider an example to indicate the validity of the obtained results.

scholarly journals Semicompatibility and fixed point theorems in an unboundedD-metric space

2005 ◽  
Vol 2005 (5) ◽  
pp. 789-801
Author(s):  
Bijendra Singh ◽  
Shishir Jain ◽  
Shobha Jain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Contractive Condition ◽  
Restricted Domain

Rhoades (1996) proved a fixed point theorem in a boundedD-metric space for a contractive self-map with applications. Here we establish a more general fixed point theorem in an unboundedD-metric space, for two self-maps satisfying a general contractive condition with a restricted domain ofxandy. This has been done by using the notion of semicompatible maps inD-metric space. These results generalize and improve the results of Rhoades (1996), Dhage et al. (2000), and Veerapandi and Rao (1996). These results also underline the necessity and importance of semicompatibility in fixed point theory ofD-metric spaces. All the results of this paper are new.

scholarly journals A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

scholarly journals A common fixed point theorem of Meir and Keeler type

1993 ◽  
Vol 16 (4) ◽  
pp. 669-674 ◽  
Author(s):  
Y. J. Cho ◽  
P. P. Murthy ◽  
G. Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Compatible Mappings ◽  
Common Fixed Point Theorem

In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of Meir-Keeler, Park-Bae, Park-Rhoades, Pant and Rao-Rao, etc.

scholarly journals Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space

Symmetry ◽  
2018 ◽  
Vol 10 (7) ◽  
pp. 240 ◽  
Author(s):  
Memet Şahin ◽  
Abdullah Kargın ◽  
Mehmet Ali Çoban
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric
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