FIXED POINT RESULTS ON A CLASS OF GENERALIZED METRIC SPACES

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AYDI HASSEN; KARAPINAR ERDAL; LAKZIAN HOSSEIN

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-6

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Title

FIXED POINT RESULTS ON A CLASS OF GENERALIZED METRIC SPACES

Author(s)

AYDI HASSEN | KARAPINAR ERDAL | LAKZIAN HOSSEIN | Issue Writer Certificate

Keywords

FIXED POINT

CONTRACTIVE TYPE MAPPING

GENERALIZED METRIC SPACES

Abstract

Brianciari (‘A FIXED POINT theorem of Banach-Caccioppoli type on a class of GENERALIZED METRIC SPACES,’ Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the ‘quadrilateral inequality,’ d (x, y) ≤d (x, a)+d (a, b)+d (b, y) for all pairwise distinct points x, y, a, and b of X. In this paper, we establish a FIXED POINT result for weak contractive mappings T: X®X in complete Hausdorff GENERALIZED METRIC SPACES. The obtained result is an extension and a generalization of many existing results in the literature.

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APA: Copy

AYDI, HASSEN, KARAPINAR, ERDAL, & LAKZIAN, HOSSEIN. (2012). FIXED POINT RESULTS ON A CLASS OF GENERALIZED METRIC SPACES. MATHEMATICAL SCIENCES, 6(-), 1-6. SID. https://sid.ir/paper/322609/en

Vancouver: Copy

AYDI HASSEN, KARAPINAR ERDAL, LAKZIAN HOSSEIN. FIXED POINT RESULTS ON A CLASS OF GENERALIZED METRIC SPACES. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-6. Available from: https://sid.ir/paper/322609/en

IEEE: Copy

HASSEN AYDI, ERDAL KARAPINAR, and HOSSEIN LAKZIAN, “FIXED POINT RESULTS ON A CLASS OF GENERALIZED METRIC SPACES,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–6, 2012, [Online]. Available: https://sid.ir/paper/322609/en

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