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Title SOME FIXED POINT THEOREMS FOR Γ-WARDOWSKI-GERAGHTY CONTRACTIONS IN Γ-B-METRIC SPACES
Type Presentation
Keywords Abstract. Motivated by Wardowski [Fixed Point Theory Appl. 2012:94, 2012] we introduce and study a new contraction and a new generalized b-metric space called α-β-F-Γ contraction and Γ-b-metric space respec- tively to prove a fixed point result as a generalization of the Banach contraction principle. Moreover, we discuss some illustrative contrac- tions to highlight the realized improvements.
Abstract Abstract. Motivated by Wardowski [Fixed Point Theory Appl. 2012:94, 2012] we introduce and study a new contraction and a new generalized b-metric space called α-β-F-Γ contraction and Γ-b-metric space respec- tively to prove a fixed point result as a generalization of the Banach contraction principle. Moreover, we discuss some illustrative contrac- tions to highlight the realized improvements.
Researchers Abdollah Dinmohammadi (Second Researcher), VAHID PARVANEH (Third Researcher), BABAK MOHAMMADI (First Researcher)