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The result of our study is that a coincidence point of two mappings and can be achieved when the ordered pair is an -contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.

international journal of mathematics and mathematical sciences

Coincidence Point Theorems for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>β</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Contraction Mappings in Generalized Metric Spaces

Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces