Some common fixed point theorems for owc mappingswith applications

Calogero Vetro; Ramesh K. Vats; Vizender Sihag; Bessem Samet

Some common fixed point theorems for owc mappingswith applications

Calogero Vetro, Ramesh K. Vats, Vizender Sihag, Bessem Samet

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.

Lingua originale	English
pagine (da-a)	285-299
Numero di pagine	15
Rivista	DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES B: APPLICATIONS & ALGORITHMS
Volume	20
Stato di pubblicazione	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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abstract = "Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.",

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AU - Vats, Ramesh K.

AU - Sihag, Vizender

AU - Samet, Bessem

PY - 2013

Y1 - 2013

N2 - Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.

AB - Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.

UR - http://hdl.handle.net/10447/85013

UR - http://www.watam.org

M3 - Article

VL - 20

SP - 285

EP - 299

JO - DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES B: APPLICATIONS & ALGORITHMS

JF - DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES B: APPLICATIONS & ALGORITHMS

SN - 1918-2538

ER -