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.

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.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

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].

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 Common fixed point theorems for two mappings satisfying some conditions

2000 ◽  
Vol 62 (1) ◽  
pp. 75-85
Author(s):  
Jeong Sheok Ume ◽  
Jong Kyu Kim
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Common Fixed Point Theorems

In this paper, using the concept of w-distance, we first prove common fixed point theorems in a complete metric space. Then these theorems are used to improve Kannan's fixed point theorem, Ćirić's fixed point theorem, Kada, Suzuki and Takahashi's fixed point theorem and Ume's fixed point theorem.

scholarly journals A New Common Fixed-Point Theorem for Two Pairs of Mappings in Parametric Metric Space

2020 ◽  
pp. 87-105
Author(s):  
Anil Bakhru ◽  
Manoj Ughade ◽  
Richa Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Frame Work ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

Our aim of this paper is to prove a new general common fixed point theorem for two pair of mappings under a different set of conditions using the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the frame work of parametric metric space, which unify, extend and generalize most of the existing relevant common fixed point theorems from the literature. Some related results and illustrative an example to highlight the realized improvements is also furnished.

scholarly journals Common Fixed Point Theorems of Altman Integral Type Mappings inG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Feng Gu ◽  
Hongqing Ye
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We introduce the concept ofφ-weakly commuting self-mapping pairs inG-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of completeG-metric space. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.

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