FIXED POINTS FOR GENERALIZED (F, h, alpha, mu)-psi-CONTRACTIONS IN b-METRIC SPACES

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ÖZTÜRK V., Turkoglu D., Ansari A. H.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.67, no.2, pp.306-316, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 67 Issue: 2
• Publication Date: 2018
• Doi Number: 10.1501/commua1_0000000884
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.306-316
• Keywords: Fixed point, generalized alpha-psi-contraction, b-metric space, MAPPINGS
• Ankara Haci Bayram Veli University Affiliated: No

Abstract

In this paper, we defined (F, h, alpha, mu)-psi-contractions using pair of (F, h) upper class functions for alpha-admissible and mu-subadmissible mappings. We proved some fixed point theorems for this type contractive mappings in b-metric spaces. Our results generalize alpha-admissible results in the literature.