2015
DOI: 10.22436/jnsa.008.05.34
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Fixed point theorems for multivalued G-contractions in Hausdorff b-Gauge spaces

Abstract: In this paper, we extend gauge spaces in the setting of b metric spaces and prove fixed point theorems for multivalued mappings in this new setting endowed with a graph. An example is constructed to substantiate our result. We also discuss possible application of our result for solving integral equations. c 2015 All rights reserved.

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Cited by 8 publications
(7 citation statements)
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“…Isik [14] used the above family of functions and established multivalued fixed-point theorem in complete metric space. For more details in the direction of multivalued generalization, we refer the reader to (see [15][16][17][18][19][20][21][22] ).…”
Section: Theorem 1 ([12]mentioning
confidence: 99%
“…Isik [14] used the above family of functions and established multivalued fixed-point theorem in complete metric space. For more details in the direction of multivalued generalization, we refer the reader to (see [15][16][17][18][19][20][21][22] ).…”
Section: Theorem 1 ([12]mentioning
confidence: 99%
“…In 1973, Reilly [27] studied quasi-gauge spaces and proved that it generalizes topological spaces, quasi uniform spaces, and quasi metric spaces. This notion was extended as b-gauge spaces by Ali et al [28] in 2015. For further facts on gauge spaces, we recommend the reader to [29][30][31][32][33][34][35][36].…”
Section: Introductionmentioning
confidence: 99%
“…In 2015, Ali et al [28] have defined gauge spaces in the setting of b s -pseudo metrics called b-gauge spaces. In order to introduce extended b-gauge spaces, we start here with the introduction of the notion of extended pseudo-b-metric.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Bakhtin introduces the notion of b-metric spaces in [11] as a generalization of metric spaces and proved many exciting fixed point theorem. For some interesting fixed point results in b-metric spaces, see [3][4][5][6][7][8][9][19][20][21][23][24][25][26]29]. Kamran et al in [17] introduced the definition of extended b-metric spaces as a generalization of b-metric spaces.…”
Section: Introductionmentioning
confidence: 99%