A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces
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The main purpose of this paper is to give some fixed point results for mappings involving generalized (Formula presented.)-contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure Appl. Math. 8(2):223-230, 1977, Harjani et al. in Nonlinear Anal. 71:3403-3410, 2009, Luong and Thuan in Fixed Point Theory Appl. 2011:46, 2011). The presented results are supported by three illustrative examples. MSC: 46N40, 47H10, 54H25, 46T99.
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