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Cited by 140 publications
(59 citation statements)
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“…These facts explain, in part, the recent extensive research on fixed points for self maps in partial metric spaces ( [1,2,3,5,8,11,13,19], etc).…”
Section: Introductionmentioning
confidence: 99%
“…These facts explain, in part, the recent extensive research on fixed points for self maps in partial metric spaces ( [1,2,3,5,8,11,13,19], etc).…”
Section: Introductionmentioning
confidence: 99%
“…One such notion which is weaker than commuting is the concept of compatibility introduced by Jungck [13]. Subsequently, several authors have obtained coincidence and common fixed point results for mappings, utilizing this concept and its generalizations, see [1,4,7,11,14,19] and references therein.…”
Section: Introductionmentioning
confidence: 99%
“…The Banach contraction principle which shows that every contractive mapping has a unique fixed point in a complete metric space has been extended in many directions ( [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][18][19][20][21][22]). One of the branches of this theory is devoted to the study of common fixed points.…”
Section: Introductionmentioning
confidence: 99%
“…Fixed point theorems on partial metric spaces have received a lot of attention in the last years (see, for instance, [2,3,4,5,6,7,8,9,10,14,15,16,17,22,23,24] and their references). Abbas et al [1] introduced the concept of w-compatible mappings and obtained coupled coincidence point and coupled point of coincidence for mappings satisfying a contractive condition in cone metric spaces.…”
Section: Definition 14 (Lakshmikantham Andćirić [18]mentioning
confidence: 99%