scholarly journals Study of multivalued fixed point problems for generalized contractions in double controlled dislocated quasi metric type spaces

2021 ◽  
Vol 7 (1) ◽  
pp. 1058-1073
Author(s):  
Tahair Rasham ◽  
◽  
Abdullah Shoaib ◽  
Shaif Alshoraify ◽  
Choonkil Park ◽  
...  
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Problems ◽  
Multivalued Mappings ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Type Spaces

<abstract><p>The main purpose of this research is to establish a new generalized $ \xi^{\ast } $-Kannan type double controlled contraction on a sequence and obtain fixed point results for a pair of multivalued mappings in left $ K $-sequentially complete double controlled dislocated quasi metric type spaces. New results in different setting of generalized metric spaces and ordered spaces and also new results for graphic contractions can be obtained as corollaries of our results. An example is presented to show the novelty of results. In this paper, we unify and extend some recent results in the existing literature.</p></abstract>

scholarly journals Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Dušan Ðukić ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Partial Metric Spaces ◽  
Type Spaces

Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.

scholarly journals Common fixed point of multivalued mappings in ordered generalized metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 1045-1053 ◽  
Author(s):  
Mujaid Abbas ◽  
Rahim Khan ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Necessary Conditions ◽  
Multivalued Mappings ◽  
Multivalued Maps ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Common Fixed Point Theorems

In this paper, study of necessary conditions for the existence of common fixed point of multi- valued mappings satisfying generalized contractive conditions in the setting of ordered generalized metric spaces is initiated. Examples to support our results are presented. These results establish most general common fixed point theorems for multivalued maps in ordered generalized metric spaces.

scholarly journals Fixed Point Problems on Generalized Metric Spaces in Perov’s Sense

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 856
Author(s):  
Liliana Guran ◽  
Monica-Felicia Bota ◽  
Asim Naseem
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Problem ◽  
Data Dependence ◽  
Fixed Point Problems ◽  
Symmetry Condition ◽  
Point Problem ◽  
Well Posedness ◽  
Generalized Metric Spaces ◽  
Generalized Metric

The aim of this paper is to give some fixed point results in generalized metric spaces in Perov’s sense. The generalized metric considered here is the w-distance with a symmetry condition. The operators satisfy a contractive weakly condition of Hardy–Rogers type. The second part of the paper is devoted to the study of the data dependence, the well-posedness, and the Ulam–Hyers stability of the fixed point problem. An example is also given to sustain the presented results.

scholarly journals A fixed point theorem for generalized metric spaces

1996 ◽  
Vol 19 (3) ◽  
pp. 457-460 ◽  
Author(s):  
B. E. Rhoades
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Generalized Metric

In this paper we prove two fixed point theorems for the generalized metric spaces introduced by Dhage.

Fixed point of contractive mappings in generalized metric spaces

2009 ◽  
Vol 59 (4) ◽  
Author(s):  
Pratulananda Das ◽  
Lakshmi Dey
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Generalized Metric

AbstractWe prove a fixed point theorem for contractive mappings of Boyd and Wong type in generalized metric spaces, a concept recently introduced in [BRANCIARI, A.: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), 31–37].

scholarly journals Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces

2013 ◽  
Vol 26 (1-2) ◽  
pp. 17-30 ◽  
Author(s):  
Mujahid Abbas ◽  
Vesna Ćojbašić Rajić ◽  
Talat Nazir ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Complex Valued

scholarly journals The Generalized Weaker(α-ϕ-φ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Maryam A. Alghamdi ◽  
Chi-Ming Chen ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Generalized Metric

We introduce the notion of generalized weaker(α-ϕ-φ)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.

Fixed point theorems in new generalized metric spaces

2016 ◽  
Vol 18 (3) ◽  
pp. 645-671 ◽  
Author(s):  
Erdal Karapınar ◽  
Donal O’Regan ◽  
Antonio Francisco Roldán López de Hierro ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Generalized Metric
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