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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1988 Let \(f\) be an orbitally continuous self-mapping of a complete metric space \((X,d)\). In this note, a fixed point theorem is proved for the mapping \(f\) satisfying contractive conditions which are combinations of various distances between distinct points \(x\), \(y\), \(fx\), and \(fy\) from \(X\).
Singh, M. R., Chatterjee, A. K.
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Fixed point theorems for generalized weakly contractive mappings [PDF]
Surveys in Mathematics and its Applications, 2009 In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as
Ramendra Krishna Bose +1 more
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COUPLED FIXED POINT THEOREMS OF INTEGRAL TYPE MAPPINGS IN CONE METRIC SPACES [PDF]
, 2012 In this paper, we prove some coupled fixed point theorems in cone metric spaces. Furthermore, we introduce and prove the integral version of coupled fixed point theorems in cone metric spaces.
Akewe, H, Okeke, G.A., Olaleru, J.O.
core
Fixed point theorems for $\alpha$--contractive mappings of Meir--Keeler type and applications
, 2013 In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this type of ...
Berzig, Maher, Rus, Mircea-Dan
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Abstract and Applied Analysis, 2013 Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
Wei-Shih Du
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Random fixed point theorems for asymptotic 1-set contraction operators
International Journal of Mathematics and Mathematical Sciences, 2002 Random fixed point theorems for condensing, 1-set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available.
P. Vijayaraju
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Abstract and Applied Analysis, 2014 The aim of this paper is to obtain some new integral type fixed point theorems for nonself weakly compatible mappings in symmetric spaces satisfying generalized (ψ,φ)-contractive conditions employing the common limit range property.
Marwan Amin Kutbi +3 more
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Duality Fixed Point and Zero Point Theorems and Applications
Abstract and Applied Analysis, 2012 The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng +2 more
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$FG$-coupled fixed point theorems in cone metric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2018 The concept of $FG$- coupled fixed point introduced recently is a generalization of coupled fixed point introduced by Guo and Lakshmikantham. A point $(x,y)\in X\times X$ is said to be a coupled fixed point of the mapping $F: X\times X \rightarrow X$ if $
E. Prajisha, P. Shaini
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Approximate Fixed Point Theorems in Banach Spaces with Applications in Game Theory [PDF]
In this paper some new approximate fixed point theorems for multifunctions in Banach spaces are presented and a method is developed indicating how to use approximate fixed point theorems in proving the existence of approximate Nash equilibria for non ...
Brânzei, R. +3 more
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