Fixed point theorems for better admissible multimaps on abstract convex spaces

2010 ◽  
Vol 25 (1) ◽  
pp. 55-62
Author(s):  
Liu Xue-wen ◽  
Zhang Yue ◽  
Tan Ren-xin
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Convex Spaces

scholarly journals Fixed point theorems in minimal generalized convex spaces

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 165-176 ◽  
Author(s):  
Rahmat Darzi ◽  
Rostamian Delavar ◽  
Mehdi Roohi
Keyword(s):  
Fixed Point ◽  
Nash Equilibrium ◽  
Fixed Point Theorem ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Kkm Principle ◽  
Generalized Convex Space ◽  
Ky Fan ◽  
Equilibrium Theorem ◽  
Convex Spaces

This paper deals with coincidence and fixed point theorems in minimal generalized convex spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we obtain some results on coincidence point and fixed point theorems. Generalized versions of Ky Fan?s lemma, Fan-Browder fixed point theorem, Nash equilibrium theorem and some Urai?s type fixed point theorems in minimal generalized convex spaces are given.

scholarly journals Generalized contraction principle

1983 ◽  
Vol 6 (1) ◽  
pp. 89-94
Author(s):  
Dipak Chatterjee
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Contraction Principle ◽  
Generalized Contraction ◽  
Contraction Maps ◽  
Convex Spaces

Fixed point theorems are proved for contraction maps onM-convex spaces.

Some Fixed Point Theorems in Metrically Convex Spaces

2000 ◽  
Vol 7 (3) ◽  
pp. 523-530 ◽  
Author(s):  
M. S. Khan ◽  
H. K. Pathak ◽  
M. D. Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Convex Metric Space ◽  
Convex Spaces

Abstract A fixed point theorem is proved in a complete metrically convex metric space. Our result generalizes the theorems of Assad [Tamkang J. Math. 7: 91–94, 1976] and Chatterjea [C.R. Acad., Bulgare Sci. 25: 727–730, 1972].

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