Some fixed point results for generalized rational type contraction mappings in partially ordered $b$-metric spaces

Nguyen Trung Hieu, Nguyen Van Dung

DOI Number
-
First page
49
Last page
66

Abstract


The purpose of this paper is to state some  fixed point results for generalized rational type contraction mappings in partially ordered $b$-metric spaces that generalize the main results of [S. Chandok and E. Karapinar, Common fixed point of generalized rational type contraction mappings in partially ordered metric spaces, Thai J. Math. 11  (2013), no. 2, 251 - 260] and  [N. V. Luong and N. X. Thuan, Fixed   point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces, Fixed Point Theory Appl. 2011:46 (2011), 10 pages]. Also, some examples are given to illustrate the  results.

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