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In this note, we introduce the notion of a generalized semi-quasi contraction and obtain a fixed point theorem for such contraction. Our results extend and generalize some well-known fixed point… Click to show full abstract
In this note, we introduce the notion of a generalized semi-quasi contraction and obtain a fixed point theorem for such contraction. Our results extend and generalize some well-known fixed point theorems including Ćirić’s quasi contraction theorem. As an application of our main theorem the existence of a solution for a class of functional equations arising in dynamic programming is discussed. At the end an open problem is also posed.
Keywords:
generalized semi;
theorems generalized;
semi quasi;
point;
point theorems;
fixed point
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!