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Sirous Moradi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Arak University
Address: Arak University
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Research

Title
On the existence and approximation of fixed points for Ciric type contractive mappings
Type
JournalPaper
Keywords
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Year
2014
Journal Quaestiones Mathematicae
DOI
Researchers B Djafari Rouhani ، Sirous Moradi

Abstract

Let (X, d) be a complete convex metric space, and C be a nonempty, closed and convex subset of X. We consider Ćirić type contractive self-mappings T of C satisfying: for all x, y ∈ C, where 0 < a < 1, a + b = 1, and c ≥ 0. We give a simple proof to an extension of Ćirić's fixed point theorem [4] and Gregus’ fixed point theorem [9], and present some results on the approximation of fixed points. In particular, we show that the least upper bound of c for T to have a fixed point is , which is therefore independent of a and b.