scholarly journals Common fixed point for three pairs of self-maps satisfying weakly commuting and weakly compatible condition in generalized metric spaces

2016 ◽  
Vol 09 (06) ◽  
pp. 3962-3979
Author(s):  
Zhongzhi Yang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Weakly Compatible ◽  
Generalized Metric ◽  
Compatible Condition

scholarly journals Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Feng Gu ◽  
Yun Yin
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Continuity Condition ◽  
Contractive Condition ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Weakly Compatible ◽  
Generalized Metric ◽  
Common Fixed Point Theorem

Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.

scholarly journals Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Feng Gu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Weakly Compatible ◽  
Generalized Metric ◽  
Common Fixed Point Theorems

By using the weakly commutative and weakly compatible conditions of self-mapping pairs, we prove some new common fixed point theorems for six self-mappings in the framework of generalized metric spaces. An example is provided to support our result. The results presented in this paper generalize the well-known comparable results in the literature due to Abbas, Nazir, Saadati, Mustafa, and Sims.

scholarly journals Some Common Fixed Point Theorems in Generalized Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Manoj Kumar ◽  
Pankaj Kumar ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Generalized Metric Spaces ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.

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 Common Fixed Point for Two Pairs of Mappings Satisfying (E.A) Property in Generalized Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wei Long ◽  
Mujahid Abbas ◽  
Talat Nazir ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Problem ◽  
Common Fixed Points ◽  
Point Problem ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Common Fixed Point Problem

Recently, Abbas et al. (2012) obtained some unique common fixed-point results for a pair of mappings satisfying (E.A) property under certain generalized strict contractive conditions in the framework of a generalized metric space. In this paper, we present common coincidence and common fixed points of two pairs of mappings when only one pair satisfies (E.A) property in the setup of generalized metric spaces. We present some examples to support our results. We also study well-posedness of common fixed-point problem.

scholarly journals Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1087-1101 ◽  
Author(s):  
Asadollah Aghajani ◽  
Mujahid Abbas ◽  
Jamal Roshan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Weakly Compatible ◽  
Compatible Condition ◽  
New Type ◽  
Common Fixed Point Theorem

In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings satisfying weakly compatible condition in complete partially ordered Gb-metric spaces. A nontrivial example is presented to verify the effectiveness and applicability of our main result.

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 Common Fixed-Point Theorems in Complete Generalized Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Chi-Ming Chen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Common Fixed Point Theorems

We introduce the notions of the𝒲function and𝒮function, and then we prove two common fixed point theorems in complete generalized metric spaces under contractive conditions with these two functions. Our results generalize or improve many recent common fixed point results in the literature.

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