scholarly journals Common Fixed Point Theorems on Multi-Valued Mappings in 2-Metric Space using T-Hardy Rogers Contraction Condition and F-Contraction

2019 ◽  
Vol 7 (1) ◽  
pp. 88-91
Author(s):  
Dinanath Barman ◽  
◽  
, Krishnadhan Sarkar ◽  
Kalishankar Tiwary ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Weakly Compatible ◽  
Contraction Condition ◽  
Common Fixed Point Theorems ◽  
Type Contraction

In this paper we have introduced multi valued 2 matrices on 2 matric space and have prove some fixed point theorems for multi-valued mappings on 2-metric space using T-Hardy and Rogers type contraction condition. We have also used F-contraction conditions, occasionally weakly compatible to prove the theorems.

scholarly journals Common Fixed Point Theorems in a New Fuzzy Metric Space

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Weiquan Zhang ◽  
Dong Qiu ◽  
Zhifeng Li ◽  
Gangqiang Xiong
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Positive Real Number ◽  
Fuzzy Metric Space ◽  
Positive Real ◽  
Fuzzy Metric ◽  
Contraction Condition ◽  
Common Fixed Point Theorems

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a newM∞-fuzzy metric, whereM∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, underϕ-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.

scholarly journals COMMON FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACE

2015 ◽  
Vol 11 (5) ◽  
pp. 5266-5275
Author(s):  
Gopi Prasad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Partially Ordered ◽  
Common Fixed Point Theorems ◽  
Rational Type ◽  
Type Contraction

In this paper we prove some common fixed point theorems for two and four self-mappings using rational type contraction and some newly notified definitions in partially ordered metric space. In this way we generalized, modify, and extend some recent results due to Chandok and Dinu [14], Shantanwi and Postolache[28] and many others [1, 2, 4, 5, 21, 29, 30], thus generalizing results of Cabrea, Harjani and Sadarangani [12] as well as Dass and Gupta [15]  in the context of partial order metric setting.

scholarly journals Fixed Point Results on Multiplicative Semi-Metric Space

2020 ◽  
Vol 12 (3) ◽  
pp. 341-348
Author(s):  
B. Vijayabaskerreddy ◽  
V. Srinivas
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems ◽  
Multiplicative Metric Space ◽  
Unique Common Fixed Point

  In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show that compatible mappings of type-E, weakly compatible mappings and reciprocally-continuous mappings are weaker forms of compatible mappings and continuous mappings respectively. The main objective of this article is to prove the unique common fixed point theorems and employing the notion of the compatible mappings of type-E, reciprocally-continuous mappings in the Multiplicative Semi Metric Space. Our result generalizes the concept of Multiplicative Metric Space as it does not involve the multiplicative triangle inequality.

scholarly journals COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN COMPLEX VALUED b-METRIC SPACES

2017 ◽  
Vol 12 (12) ◽  
pp. 7014-7022
Author(s):  
Anil Kumar Dubey ◽  
Madhubala Kasar ◽  
Ravi Prakash Dubey
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we prove a common xed point theorem for weakly compatible mappings in complex valued b-metric space and also improve the condition of contraction of the results of M. Kumar et al.[7]. Further, we prove common xed point theorems for weakly compatible mappings with (E.A.) property and (CLRg) property.

scholarly journals Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps inG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Hongqing Ye ◽  
Feng Gu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Power Type ◽  
Common Fixed Point Theorems ◽  
Type Contraction ◽  
Contraction Maps

We introduce a new twice power type contractive condition for three mappings inG-metric spaces, and several new common fixed point theorems are established in completeG-metric space. An example is provided to support our result. The results obtained in this paper differ from other comparable results already known.

scholarly journals Common fixed point theorems for weakly compatible non-self mappings in metric spaces of hyperbolic type

2016 ◽  
Vol 4 (1) ◽  
pp. 2 ◽  
Author(s):  
Kanayo Eke
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Hyperbolic Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

<p>In this paper, we establish common fixed point theorems for a pair of weakly compatible nonself mappings  satisfying generalized contractive  conditions in metric space of hyperbolic type. The results generalize and extend some results in literature.</p>

scholarly journals Some Common Fixed Point Results for Rational Type Contraction Mappings in Complex Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sumit Chandok ◽  
Deepak Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Weakly Compatible ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Rational Type ◽  
Type Contraction

We prove some common fixed point theorems for two pairs of weakly compatible mappings satisfying a rational type contractive condition in the framework of complex valued metric spaces. The proved results generalize and extend some of the known results in the literature.

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