Common tripled fixed point results in cone metric type spaces

2014 ◽  
Vol 63 (2) ◽  
pp. 287-300 ◽  
Author(s):  
Ghasem Soleimani Rad ◽  
Hassen Aydi ◽  
Poom Kumam ◽  
Hamidreza Rahimi
Keyword(s):  
Fixed Point ◽  
Tripled Fixed Point ◽  
Common Tripled Fixed Point ◽  
Type Spaces ◽  
Cone Metric

A new contribution in fuzzy cone metric spaces by strong fixed point techniques with supportive application

2021 ◽  
pp. 1-21
Author(s):  
Rashwan A. Rashwan ◽  
Hasanen A. Hammad ◽  
A. Nafea
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Mixed Monotone Property ◽  
Cone Metric Spaces ◽  
System Of Integral Equations ◽  
Tripled Fixed Point ◽  
Fixed Point Techniques ◽  
Theoretical Results ◽  
Cone Metric

In this manuscript, the concept of a cyclic tripled type fuzzy cone contraction mapping in the setting of fuzzy cone metric spaces is introduced. Also, some theoretical results concerned with tripled fixed points are given without a mixed monotone property in the mentioned space. Moreover, under this concept, some strong tripled fixed point results are obtained. Ultimately, to support the theoretical results non-trivial examples are listed and the existence of a unique solution to a system of integral equations is presented as an application.

scholarly journals On Quasi-Pseudometric Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Eniola Funmilayo Kazeem ◽  
Collins Amburo Agyingi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
Type Space ◽  
Type Spaces ◽  
Cone Metric

We introduce the concept of a quasi-pseudometric type space and prove some fixed point theorems. Moreover, we connect this concept to the existing notion of quasi-cone metric space.

scholarly journals A Suzuki type common tripled fixed point theorem for a hybrid pair of mappings

2016 ◽  
Vol 17 (1) ◽  
pp. 533 ◽  
Author(s):  
Stojan Radenovic ◽  
K. P. R. Rao ◽  
K. V. Siva Parvathi ◽  
Tatjana Dosenovic
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Tripled Fixed Point ◽  
Common Tripled Fixed Point ◽  
Hybrid Pair

scholarly journals Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2267
Author(s):  
Hasanen A. Hammad ◽  
Manuel De la De la Sen
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Control Function ◽  
Cone Metric Spaces ◽  
Tripled Fixed Point ◽  
Contractive Type ◽  
Theoretical Results ◽  
Cone Metric

The objective of this paper is to present a new notion of a tripled fixed point (TFP) findings by virtue of a control function in the framework of fuzzy cone metric spaces (FCM-spaces). This function is a continuous one-to-one self-map that is subsequentially convergent (SC) in FCM-spaces. Moreover, by using the triangular property of a FCM, some unique TFP results are shown under modified contractive-type conditions. Additionally, two examples are discussed to uplift our work. Ultimately, to examine and support the theoretical results, the existence and uniqueness solution to a system of Volterra integral equations (VIEs) are obtained.

scholarly journals Unique Common Tripled Fixed Point for Three Mappings in Spaces

2021 ◽  
Vol 9 (5) ◽  
pp. 835-852
Author(s):  
Kumara Swamy ◽  
Swatmaram Swatmaram ◽  
Bipan Hazarika ◽  
Sumati Kumari
Keyword(s):  
Fixed Point ◽  
Tripled Fixed Point ◽  
Common Tripled Fixed Point

scholarly journals Remarks on fixed point theory in soft metric type spaces

Filomat ◽  
2019 ◽  
Vol 33 (17) ◽  
pp. 5531-5541 ◽  
Author(s):  
Mujahid Abbas ◽  
Ghulam Murtaza ◽  
Salvador Romaguera
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Cone Metric Spaces ◽  
Type Spaces ◽  
Cone Metric

The aim of this paper is to discuss the recent development regarding fixed point theory in soft metric type spaces such as soft G-metric spaces, soft cone metric spaces, dislocated soft metric spaces and soft b-metric spaces. We show that soft versions of fixed point results proved in such metric type spaces can be directly deduced from the comparable existing results in the literature.

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