On fixed point theorems for contractive mappings of integral type with w-distance

Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1515-1528
Author(s):  
Zeqing Liu ◽  
Feifei Hou ◽  
Shin Kang ◽  
Jeong Ume
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Contractive Mappings

scholarly journals Fixed Point Theorems for Two Pairs of Mappings Satisfying a New Type of Common Limit Range Property in Gp Metric Spaces

2018 ◽  
Vol 32 (1) ◽  
pp. 295-312
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Contractive Mappings ◽  
Common Limit ◽  
New Type ◽  
Common Limit Range Property

Abstract The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in Gpmetric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for ⱷ-contractive mappings are obtained.

scholarly journals Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Integral Type ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Modular Spaces ◽  
Generalized Weak Contraction ◽  
Common Fixed Point Theorems

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

scholarly journals Some fixed point theorems for contractive mappings of integral type

2017 ◽  
Vol 10 (07) ◽  
pp. 3566-3580
Author(s):  
Zeqing Liu ◽  
Yuqing Wang ◽  
Shin Min Kang ◽  
Young Chel Kwun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Contractive Mappings

scholarly journals Fixed Points of Integral Type Multivalued Contractive Mappings with w-Distance

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Haiyan Gao ◽  
Haoyue Wang ◽  
Lili Zhang ◽  
Liangshi Zhao
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Contractive Mappings

Two fixed point theorems for multivalued contractive mappings involving w-distance and inequalities of integral type are proved. Our results generalize a few results in the literature. Two illustrative examples are given.

scholarly journals On Weakly -Contractive Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Erdal Karapınar ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Integral Type ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Weakly Contractive ◽  
Common Fixed Point Theorems

We introduce the notion of weakly -contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.

Fixed point theorems for two pairs of mappings satisfying a new type of common limit range property

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3181-3192
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Contractive Mappings ◽  
Common Limit ◽  
New Type ◽  
Common Limit Range Property

The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property which generalize the results from Theorem 2.9 [19]. In the last part of the paper, as applications, some fixed point results for mappings satisfying contractive conditions of integral type for almost contractive mappings for ?-contractive mappings and (?,?) - weak contractive mappings in metric spaces are obtained.

scholarly journals Common Fixed Point Theorems for Contractive Mappings of Integral Type in G -Metric Spaces and Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Fengrong Zhang ◽  
Xiangshuai Zhang ◽  
Yan Hao
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Contractive Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G -metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.

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