Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

scholarly journals Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
W. Sintunavarat ◽  
P. Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Contractive Condition ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.

scholarly journals Common fixed point theorems without continuity and compatible property of maps

2017 ◽  
Vol 35 (3) ◽  
pp. 67-77 ◽  
Author(s):  
Vinod Bhardwaj ◽  
Vishal Gupta ◽  
Naveen Mani
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Contraction Of Integral Type ◽  
Common Fixed Point Theorems

In this paper, without assuming continuity, commutativity and compatibility of self maps, some common fixed theorem for weak contraction of integral type in complete metric spaces are proved. An example and some remarks are also given to justify that our contraction is new and weaker than other existing contractions.

scholarly journals Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 671-680 ◽  
Author(s):  
Phikul Sridarat ◽  
Suthep Suantai
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Cyclic Contraction ◽  
Complete Metric Spaces ◽  
New Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Moreover, some examples illustrating our main result are also given. The obtained result extends and generalizes several fixed point results of multivalued mappings in the literature. We apply our main result to obtain common fixed point results for two multi-valued mappings in ?-chainable complete metric spaces and two cyclic contraction multi-valued mappings.

scholarly journals Strict common fixed points of nonlinear mappings via δ-distances and an application

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3233-3248
Author(s):  
Javid Ali ◽  
M. Imdad ◽  
M. Hasan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Nonlinear Mappings

The purpose of this paper is to prove some strict common fixed point theorems for weakly compatible hybrid pairs of nonlinear mappings defined on semi-metric spaces employing implicit relations which unify, extend and generalize several results from the literature. As an application, we prove a general common fixed point theorem for integral type contractive conditions. Finally, we give an example to demonstrate the main result of the paper.

scholarly journals Fixed Points of L-Fuzzy Mappings in Ordered b-Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Ismat Beg ◽  
Mohamed A. Ahmed ◽  
Hatem A. Nafadi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Integral Type ◽  
Common Fixed Point Theorems

We prove common fixed point theorems for weakly commuting and occasionally coincidentally idempotent L-fuzzy mappings in ordered b-metric spaces. We also obtain common fixed point for pair of mapping satisfying (JCLR) property. An application to integral type and usual contractive condition is given.

scholarly journals Common Fixed Point Theorems of Altman Integral Type Mappings inG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Feng Gu ◽  
Hongqing Ye
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We introduce the concept ofφ-weakly commuting self-mapping pairs inG-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of completeG-metric space. 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 α-ψ-Contractive Type Mappings

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jalal Hassanzadeasl
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Complete Metric Spaces ◽  
Contractive Type ◽  
Common Fixed Point Theorems

Recently, Samet et al. (2012) introduced the notion of α-ψ-contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupled α-ψ-contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition.

scholarly journals Common fixed point theorems for semigroups on metric spaces

1999 ◽  
Vol 22 (2) ◽  
pp. 377-386 ◽  
Author(s):  
Young-Ye Huang ◽  
Chung-Chien Hong
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Common Fixed Point Theorems ◽  
Lipschitzian Semigroup ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

This paper consists of two main results. The first one shows that ifSis a left reversible semigroup of selfmaps on a complete metric space(M,d)such that there is a gauge functionφfor whichd(f(x),f(y))≤φ(δ(Of (x,y)))forf∈Sandx,yinM, whereδ(Of (x,y))denotes the diameter of the orbit ofx,yunderf, thenShas a unique common fixed pointξinMand, moreover, for anyfinSandxinM, the sequence of iterates{fn(x)}converges toξ. The second result is a common fixed point theorem for a left reversible uniformly Lipschitzian semigroup of selfmaps on a bounded hyperconvex metric space(M,d).

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