On the common fixed point for two sequences of self-mappings in Menger spaces

1995 ◽  
Vol 67 (3) ◽  
pp. 193-201
Author(s):  
Ljiljana Gajić
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Menger Spaces ◽  
The Common

scholarly journals Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

2018 ◽  
Vol 16 (1) ◽  
pp. 1423-1434 ◽  
Author(s):  
Xiao-lan Liu ◽  
Mi Zhou ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra ◽  
Boško Damjanović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Menger Spaces ◽  
Common Limit ◽  
The Common ◽  
Common Limit Range Property ◽  
Common Fixed Point Theorem

AbstractIn this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs. Our results improve, extend, complement and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.

scholarly journals Common fixed point theorem on Proinov type mappings via simulation function

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Badr Alqahtani ◽  
Sara Salem Alzaid ◽  
Andreea Fulga ◽  
Seher Sultan Yeşilkaya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Simulation Function ◽  
Type Mapping ◽  
The Common ◽  
Common Fixed Point Theorem

AbstractIn this paper, we aim to discuss the common fixed point of Proinov type mapping via simulation function. The presented results not only generalize, but also unify the corresponding results in this direction. We also consider an example to indicate the validity of the obtained results.

scholarly journals Fixed point and a Cantilever beam problem in a partial b-metric space

2021 ◽  
Vol 13 (2) ◽  
pp. 506-518
Author(s):  
Anita Tomar ◽  
Meena Joshi ◽  
Venkatesh Bhatt
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Cantilever Beam ◽  
Metric Space ◽  
Elastic Beam ◽  
The Common ◽  
Type Contraction

Abstract We determine the common fixed point of two maps satisfying Hardy-Roger type contraction in a complete partial b-metric space without exploiting any variant of continuity or commutativity, which is indispensable in analogous results. Towards the end, we give examples and an application to solve a Cantilever beam problem employed in the distortion of an elastic beam in equilibrium to substantiate the utility of these improvements.

COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE

2022 ◽  
Vol 11 (1) ◽  
pp. 25-34
Author(s):  
V.D. Borgaonkar ◽  
K.L. Bondar ◽  
S.M. Jogdand
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.

scholarly journals Common Fixed Point Theorems for Conversely Commuting Mappings Using Implicit Relations

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Sunny Chauhan ◽  
Huma Sahper
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Spaces ◽  
Common Fixed Point Theorems ◽  
Commuting Mappings

The object of this paper is to utilize the notion of conversely commuting mappings due to Lü (2002) and prove some common fixed point theorems in Menger spaces via implicit relations. We give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results.

scholarly journals Common Fixed Point Results for Generalized Wardowski Type Contractive Multi-Valued Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1130 ◽  
Author(s):  
Hüseyin Işık ◽  
Vahid Parvaneh ◽  
Babak Mohammadi ◽  
Ishak Altun
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
The Common

In this paper, we introduce generalized Wardowski type quasi-contractions called α - ( φ , Ω ) -contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An illustrative example and an application are given to show the usability of our results.

scholarly journals 𝒥ℋ-Operator Pairs with Application to Functional Equations Arising in Dynamic Programming

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
A. Razani ◽  
B. Moeini
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Common Solution ◽  
The Common ◽  
Common Fixed Point Theorems

Some common fixed point theorems for𝒥ℋ-operator pairs are proved. As an application, the existence and uniqueness of the common solution for systems of functional equations arising in dynamic programming are discussed. Also, an example to validate all the conditions of the main result is presented.

scholarly journals Common Fixed Point Theorems for Probabilistic Nearly Densifying Mappings

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Aeshah Hassan Zakri ◽  
Sumitra Dalal ◽  
Sunny Chauhan ◽  
Jelena Vujaković
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Spaces ◽  
Common Fixed Point Theorems

The aim of this paper is to prove some coincidence and common fixed point theorems for probabilistic nearly densifying mappings in complete Menger spaces. Our results improve the results of Chamola et al. (1991), Dimri and Pant (2002), and Pant et al. (2004) and extend the results of Khan and Liu (1997) in the framework of probabilistic settings.

scholarly journals Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Zhanfei Zuo
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Nonexpansive Mappings ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Fixed Point Set ◽  
Common Fixed Point Problem ◽  
The Family ◽  
Point Set ◽  
The Common

It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in to a certain variational inequality, where stands for the common fixed-point set of the family of multivalued nonexpansive mapping .

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