scholarly journals Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
G. N. V. Kishore
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Contractive Mapping ◽  
Contractive Mappings ◽  
Fixed Point Result ◽  
Control Functions ◽  
Complex Valued Metric Space ◽  
Fuzzy Fixed Point ◽  
Complex Valued ◽  
Rational Type

In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.

scholarly journals Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jamshaid Ahmad ◽  
Chakkrid Klin-Eam ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Contractive Mappings ◽  
Complex Valued Metric Space ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).

scholarly journals FIXED POINT THEORY IN COMLEX VALUED METRIC SPACE

2021 ◽  
Vol 23 (07) ◽  
pp. 846-852
Author(s):  
Abhishek Koundal ◽  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Distance Functions ◽  
Control Functions ◽  
Complex Valued Metric Space ◽  
Complex Valued

The aim of this paper is to establish and prove several results on a common fixed point for a pair of mappings satisfying more general contraction conditions portrayed by rational expressions having point-dependent control functions as coefficients in complex-valued metric spaces. Fixed point theory in complex-valued metric space using contractive conditions, rational inequality, common limit range property for two pairs of mapping deriving common fixed-point results under a generalized altering distance functions, E.A and CLR property. Obtaining consecutive approximations to the fixed point of an approximate mapping is the goal of a variety of processes in numerical analysis and approximation theory. Our goal in this paper is to examine fixed point theory and its applications in metric spaces, as well as to develop several fixed-point theorems in entire metric spaces that generalize many renowned mathematicians’ achievements.

scholarly journals On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Jamshaid Ahmad ◽  
Akbar Azam ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Sufficient Conditions ◽  
Weak Property ◽  
Complex Valued Metric Space ◽  
Fuzzy Fixed Point ◽  
Complex Valued ◽  
Fuzzy Subsets

Let(X,d)be a complex valued metric space and letS,Tbe mappings fromXto a set of all fuzzy subsets ofX. We present sufficient conditions for the existence of a commonα-fuzzy fixed point ofSandT. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.

scholarly journals Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 56 ◽  
Author(s):  
Qasim Mahmood ◽  
Abdullah Shoaib ◽  
Tahair Rasham ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Closed Ball ◽  
Multivalued Mappings ◽  
System Of Integral Equations ◽  
Contractive Mappings ◽  
The Family ◽  
Rational Type

The purpose of this paper is to find out fixed point results for the family of multivalued mappings fulfilling a generalized rational type F-contractive conditions on a closed ball in complete dislocated b-metric space. An application to the system of integral equations is presented to show the novelty of our results. Our results extend several comparable results in the existing literature.

scholarly journals Relation-Theoretic Fixed Point Theorems for Generalized Weakly Contractive Mappings

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 29
Author(s):  
Priyam Chakraborty ◽  
Binayak S. Choudhury ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fixed Point Theory ◽  
Point Theory ◽  
The Other ◽  
Binary Relations ◽  
Contractive Mappings ◽  
Fixed Point Result ◽  
Weakly Contractive

In recent times there have been two prominent trends in metric fixed point theory. One is the use of weak contractive inequalities and the other is the use of binary relations. Combining the two trends, in this paper we establish a relation-theoretic fixed point result for a mapping which is defined on a metric space with an arbitrary binary relation and satisfies a weak contractive inequality for any pair of points whenever the pair of points is related by a given relation. The uniqueness is obtained by assuming some extra conditions. The metric space is assumed to be R -complete. We use R -continuity of functions. The property of local T-transitivity of the relation R is used in the main theorem. There is an illustrative example. An existing fixed point result is generalized through the present work. We use a method in the proof of our main theorem which is a blending of relation-theoretic and analytic approaches.

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