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General Common Fixed Point Theorems for Compatible Mappings of Type (C)

Sarajevo Journal of Mathematics
In this note, we prove a common fixed point theorem for four compatible mappings of type (C) satisfying an implicit relation. This theorem generalizes, improves and extends the result of Popa [6] and others.
H. Bouhadjera
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A Common Fixed Point Theorem for Weakly Compatible Mappings in Compact Metric Spaces Satisfying an Implicit Relation

Sarajevo Journal of Mathematics
We prove a common fixed point Theorem for four mappings in compact metric spaces satisfying an implicit relation using the concept of weak compatibility without decreasing assumption which generalizes Theorem 1 of V. Popa [9].
A. Aliouche
semanticscholar   +1 more source

A Generalization of Meir-Keeler Type Common Fixed Point Theorem For Four Noncontinuous Mappings

Sarajevo Journal of Mathematics
In this paper, using a combination of methods used in [1], [20] and [22] the results from [3, Theorem 1], [14, Theorem 1] and [15, Theorem 1] are improved removing the assumption of continuity, relaxing compatibility to the weak compatibility property ...
V. Popa
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New Random Fixed Point Results for Generalized Altering Distance Functions

Sarajevo Journal of Mathematics
The aim of this work is to establish new random common fixed points for pair of mappings satisfying generalized weakly contractive conditions in the setting of complete metric spaces.   2000 Mathematics Subject Classification.
H. Nashine
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Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces

Journal of Advances in Applied & Computational Mathematics
In this work, the authors introduce the concept of neutrosophic semi-metric spaces and prove several common fixed-point theorems for countable and uncountable family of mappings via an implicit relation of contractive and integral type by utilizing ...
T. Kamran   +4 more
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A Remark on Vetrivel’s Existence Theorem on Ky Fan’s Best Approximant

Sarajevo Journal of Mathematics
Vetrivel (1996) proved an existence theorem on Ky fan's best approximant for multifunction with open inverse values. The object of this paper is to present an improved and extended version of this result.
H. Nashine
semanticscholar   +1 more source

MR3104897 Reviewed Mawhin, J. Variations on some finite-dimensional fixed-point theorems. Translation of Ukraïn. Mat. Zh. 65 (2013), no. 2, 266–272. Ukrainian Math. J. 65 (2013), no. 2, 294–301. (Reviewer: Calogero Vetro) 54H25 (47H10)

2014
Inglese:The author presents an interesting discussion on three fundamental results in the literature and related theory: the Poincaré-Miranda theorem [C. Miranda, Boll. Un. Mat. Ital. (2) 3 (1940), 5–7; MR0004775 (3,60b)], the Pireddu-Zanolin fixed point theorem [M. Pireddu and F. Zanolin, Topol. Methods Nonlinear Anal. 30 (2007), no.
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MR3136553 Reviewed Popa, Valeriu; Patriciu, Alina-Mihaela A general fixed point theorem for pairs of mappings satisfying implicit relations in two G-metric spaces. An. Univ. Dunărea de Jos Galaţi Fasc. II Mat. Fiz. Mec. Teor. 4(35) (2012), no. 1-2, 22–28. (Reviewer: Calogero Vetro) 54H25 (47H10)

2014
In [Stud. Cercet. Ştiinţ. Ser. Mat. Univ. Bacău No. 7 (1997), 127–133 (1999); MR1721711], V. Popa initiated the study of fixed points for mappings satisfying implicit relations as a way to unify and generalize various contractive conditions. Later on, many papers were published extending this approach to different metric settings. In the paper under
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