New collectively fixed point theorems and applications inG-convex spaces

2002 ◽  
Vol 23 (11) ◽  
pp. 1237-1249 ◽  
Author(s):  
Ding Xie-ping ◽  
Park Jong-yeoul
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Collectively Fixed Point ◽  
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.

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