Coincidence and fixed point theorems for generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>(</mml:mo><mml:mi>ψ</mml:mi><mml:mo>,</mml:mo><mml:mi>φ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-weak nonlinear contraction in ordered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>K</mml:mi></mml:math>-metric spaces

In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. Our results extend the results of Harjani et al. (2011). Moreover, an example of the main result is given. Finally, some coupled coincidence point results for mappings satisfying some contraction conditions of integral type in partially ordered complete metric spaces are deduced.

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Metric-like spaces, partial metric spaces and fixed points

Amini-Harandi

2012

Fixed Point Theory Appl

197

179

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By a metric-like space, as a generalization of a partial metric space, we mean a pair (X, σ ), where X is a nonempty set and σ : X × X → R satisfies all of the conditions of a metric except that σ (x, x) may be positive for x ∈ X. In this paper, we initiate the fixed point theory in metric-like spaces. As an application, we derive some new fixed point results in partial metric spaces. Our results unify and generalize some well-known results in the literature. MSC: 47H10

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Coincidence and fixed point theorems for generalized (ψ,φ)-weak nonlinear contraction in ordered K-metric spaces

Cited by 10 publications

References 43 publications

Coupled fixed point theorems in partially ordered G-metric spaces

Coupled fixed point theorems in partially ordered G-metric spaces

Coupled Coincidence Point Results for (ψ, α, β)‐Weak Contractions in Partially Ordered Metric Spaces

Metric-like spaces, partial metric spaces and fixed points

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