scholarly journals Two fixed point theorems in generalized metric spaces

2016 ◽  
Vol 4 (1) ◽  
pp. 16
Author(s):  
Salwa S Abed ◽  
Hadeel H. Luaibi
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Coupled Fixed Point ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Implicit Condition

<p>In this paper, we prove there exists a coupled fixed point for a set- valued contraction mapping defined on X× X , where X is incomplete ordered G-metric. Also, we prove the existence of a unique fixed point for single valued mapping with respect to implicit condition defined on a complete G- metric.</p>

scholarly journals COUPLED FIXED POINT THEOREMS FOR RATIONAL INEQUALITY IN GENERALIZED METRIC SPACES

2015 ◽  
Vol 31 (1) ◽  
pp. 65-75
Author(s):  
Deepak Singh ◽  
Surjeet Singh Tomar ◽  
M.S. Rathore ◽  
Varsha Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Metric Spaces ◽  
Generalized Metric

scholarly journals Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

2012 ◽  
Vol 2012 (1) ◽  
pp. 8 ◽  
Author(s):  
Yeol JE Cho ◽  
Billy E Rhoades ◽  
Reza Saadati ◽  
Bessem Samet ◽  
Wasfi Shantawi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Integral Type ◽  
Generalized Metric Spaces ◽  
Generalized Metric

scholarly journals Fixed points and coupled fixed points in partially ordered ν-generalized metric spaces

2018 ◽  
Vol 19 (2) ◽  
pp. 189 ◽  
Author(s):  
Mortaza Abtahi ◽  
Zoran Kadelburg ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Partially Ordered ◽  
Generalized Metric ◽  
Coupled Fixed Points

<p>New fixed point and coupled fixed point theorems in partially ordered ν-generalized metric spaces are presented. Since the product of two ν-generalized metric spaces is not in general a ν-generalized metric space, a different approach is needed than in the case of standard metric spaces.</p>

scholarly journals Coupled points in ordered generalized metric spaces and application to integro-dierential equations

2013 ◽  
Vol 21 (3) ◽  
pp. 155-180 ◽  
Author(s):  
Nguyen Van Luong ◽  
Nguyen Xuan Thuan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Compatible Mappings ◽  
Generalized Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Generalized Metric

Abstract In this paper, we prove some coupled fixed point theorems for O-compatible mappings in partially ordered generalized metric spaces under certain conditions to extend and complement the recent fixed point theorems due to Bhaskar and Lakshmikantham [Nonlinear Anal. TMA 65 (2006) 1379 - 1393] and Berinde [Nonlinear Anal. TMA 74 (2011) 7347-7355]. We give some examples to illustrate our results. An application to integro-differential equations is also given.

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 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.

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

scholarly journals Fixed point theorems for almost contractions in generalized metric spaces

2014 ◽  
Vol 23 (1) ◽  
pp. 65-72
Author(s):  
LULJETA KIKINA ◽  
◽  
KRISTAQ KIKINA ◽  
ILIR VARDHAMI ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Space Setting ◽  
Generalized Metric

Fixed point theorems for almost contractions in generalized metric spaces are proved. The obtained results are extensions and generalizations, from metric space setting to generalized metric space setting, of many well-known fixed point theorems in literature.

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