scholarly journals SOME FIXED POINT THEOREMS FOR SET-VALUED (a, p)-WEAK CONTRACTIONS IN CONE METRIC SPACES OVER BANACH ALGEBRA

2019 ◽  
pp. 15-18
Author(s):  
S. K. Malhotra ◽  
Sarita Prakash ◽  
Satish Shukla
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cone Metric

The purpose of this paper is to introduce the notion of set-valued (𝛼, 𝑝)- weak contractions in cone metric spaces over Banach algebra and to prove some fixed point theorems for such mappings. The fixed point results of this paper generalize and extend several known fixed point results on cone metric spaces. An example in support of our results is given.

scholarly journals On J -Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Jerolina Fernandez ◽  
Neeraj Malviya ◽  
Vahid Parvaneh ◽  
Hassen Aydi ◽  
Babak Mohammadi
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Expansive Maps ◽  
Cone Metric

In the present paper, we define J -cone metric spaces over a Banach algebra which is a generalization of G p b -metric space ( G p b -MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.

scholarly journals Some fixed point results on $\mathcal{N}_{b}$-cone metric spaces over Banach algebra

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Jerolina Fernandez ◽  
Neeraj Malviya ◽  
Zoran D. Mitrović ◽  
Azhar Hussain ◽  
Vahid Parvaneh
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Coupled Common Fixed Point ◽  
Lipschitz Mappings ◽  
Special Cases ◽  
Common Fixed Point Theorems ◽  
Cone Metric

Abstract The main aim of this paper is to introduce the concept of $\mathcal{N}_{b}$ N b -cone metric spaces over a Banach algebra as a generalization of $\mathcal{N}$ N -cone metric spaces over a Banach algebra and b-metric spaces. Also, we study some coupled common fixed point theorems for generalized Lipschitz mappings in this framework. Finally, we give an example and an application to the existence of solutions of integral equations to illustrate the effectiveness of our generalizations. Some results in the literature are special cases of our results.

scholarly journals Coupled Fixed Point Theorems of Single-Valued Mapping forc-Distance in Cone Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Zaid Mohammed Fadail ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Cone Metric

A new concept of thec-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some coupled fixed-point theorems onc-distance in cone metric space. Some examples are given.

scholarly journals Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1212
Author(s):  
Mathuraiveeran Jeyaraman ◽  
Mookiah Suganthi ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

scholarly journals Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Saif Ur Rehman ◽  
Yongjin Li ◽  
Shamoona Jabeen ◽  
Tayyab Mahmood
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In this paper, we present some common fixed point theorems for a pair of self-mappings in fuzzy cone metric spaces under the generalized fuzzy cone contraction conditions. We extend and improve some recent results given in the literature.

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