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We prove some fixed point results for self-mapping T:X&#x2192;X in a complete G-metric space X under some contractive conditions related to a nondecreasing map &#x03D5;:[0,+&#x221E;)&#x2192;[0,+&#x221E;) with limn&#x2192;+&#x221E;&#x03D5;n(t)=0  for all t&#x2208;(0,+&#x221E;). Also, we prove the uniqueness of such fixed point, as well as studying the G-continuity of such fixed point

fixed point theory and applications

Fixed Point Theory for Contractive Mappings Satisfying "Equation missing" -Maps in "Equation missing" -Metric Spaces

Fixed Point Theory for Contractive Mappings Satisfying "Equation missing" -Maps in "Equation missing" -Metric Spaces