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 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 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 Common fixed points for α-ψ-φ-contractions in generalized metric spaces

2014 ◽  
Vol 19 (1) ◽  
pp. 43-54 ◽  
Author(s):  
Vincenzo La Rosa ◽  
Pasquale Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Generalized Metric Spaces ◽  
Nonlinear Anal ◽  
Generalized Metric ◽  
Model Control ◽  
Common Fixed Point Theorems

We establish some common fixed point theorems for mappings satisfying an α-ψ-ϕcontractive condition in generalized metric spaces. Presented theorems extend and generalize manyexisting results in the literature. Erratum to “Common fixed points for α-ψ-φ-contractions in generalized metric spaces” In Example 1 of our paper [V. La Rosa, P. Vetro, Common fixed points for α-ψ-ϕcontractions in generalized metric spaces, Nonlinear Anal. Model. Control, 19(1):43–54, 2014] a generalized metric has been assumed. Nevertheless some mistakes have appeared in the statement. The aim of this note is to correct this situation.  

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 in partially ordered cone metric spaces

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 137-149 ◽  
Author(s):  
Hui-Sheng Ding ◽  
Lu Li
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Monotone Mappings ◽  
Ordered Metric Space ◽  
Cone Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Anal ◽  
Cone Metric

This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393].

scholarly journals Coupled coincidence point result in partially ordered generalized metric spaces

2012 ◽  
Vol 43 (4) ◽  
pp. 609-619 ◽  
Author(s):  
Vizender Sihag ◽  
Ramesh Kumar Vats
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Computer Modelling ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Generalized Metric Spaces ◽  
Partially Ordered ◽  
Generalized Metric ◽  
Coupled Coincidence

The present study introduces the notion of compatibility in partially ordered G-metric spaces and uses this perception to establish a coupled coincidence point result. Our effort extend the recent work of Choudhary and Maity [B. S. Choudhary, P. Maity, Coupled fixed point results in generalized metric spaces, Mathematical and Computer Modelling 54 (2011) 73-79]. The example demonstrates that our main result is an actual improvement over the results which are generalized

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 Coupled fixed point theorems in partially ordered G-metric spaces

2012 ◽  
Vol 55 (3-4) ◽  
pp. 1601-1609 ◽  
Author(s):  
Nguyen Van Luong ◽  
Nguyen Xuan Thuan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partially Ordered
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