scholarly journals Suzuki type common fixed point theorem in complete metric space and partial metric space

Filomat ◽  
2015 ◽  
Vol 29 (6) ◽  
pp. 1377-1387 ◽  
Author(s):  
Binayak Choudhury ◽  
Chaitali Bandyopadhyay
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Common Fixed Point Theorem

scholarly journals Common Fixed Point for Generalized Bose-Mukherjee-Type Fuzzy Mappings

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Ming-liang Song ◽  
Zhong-qian Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for a pair of generalized Bose-Mukherjee-type fuzzy mappings in a complete metric space. An example is also provided to support the main result presented herein.

A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak

2006 ◽  
Vol 13 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Mohamed Akkouchi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

Abstract In this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in 1986.

scholarly journals A common fixed point theorem for two sequences of self-mappings

1991 ◽  
Vol 14 (3) ◽  
pp. 417-420 ◽  
Author(s):  
Takeshi Taniguchi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Point Theorem

In this paper a common fixed point theorem for two sequences of self-mappings from a complete metric spaceMtoMis proved. Our theorem is a generalization of Hadzic's fixed point theorem[1].

Common fixed point theorem of weakly compatible maps in partial metric space

2016 ◽  
Vol 7 (3) ◽  
pp. 137
Author(s):  
Jitender Kumar ◽  
Sachin Vashistha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem using weakly compatible maps in partial metric space, which generalizes the result of Altun and Sadarangani  [12].

scholarly journals Interpolative Reich–Rus–Ćirić and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1598 ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Luis Manuel Sánchez Ruiz ◽  
Pragati Gautam ◽  
Swapnil Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Contraction Condition ◽  
Common Fixed Point Theorem ◽  
Type Contraction

The aim of this paper was to obtain common fixed point results by using an interpolative contraction condition given by Karapinar in the setting of complete metric space. Here in this paper, we have redefined the Reich–Rus–Ćirić type contraction and Hardy–Rogers type contraction in the framework of quasi-partial b-metric space and proved the corresponding common fixed point theorem by adopting the notion of interpolation. The results are further validated with the application based on them.

scholarly journals General Common Fixed Point Theorems and Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Shyam Lal Singh ◽  
Swami Nath Mishra ◽  
Renu Chugh ◽  
Raj Kamal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Solution ◽  
Common Fixed Point Theorems ◽  
Special Case ◽  
Common Fixed Point Theorem

The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result ofĐorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić (1974). Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.

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